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Finding the Fourth Proportional to 7,764,410.70, 11,646,506.70 and 3,504,572.10

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Solution

The fourth proportional to 7,764,410.70, 11,646,506.70 and 3,504,572.10 is: 5,256,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764,410.70 : 11,646,506.70 = 3,504,572.10 : x
  2. Step 2: Convert to fraction form
    7,764,410.70/11,646,506.70 = 3,504,572.10/x
  3. Step 3: Cross multiply
    7,764,410.70x = 11,646,506.70 × 3,504,572.10
  4. Step 4: Simplify right side
    7,764,410.70x = 40,816,022,443,283.07
  5. Step 5: Solve for x
    x = 40,816,022,443,283.07/7,764,410.70
  6. Step 6: Final answer
    x = 5,256,808.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.