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Finding the Fourth Proportional to 7,606.41, 11,410.16 and 2,059.80

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Solution

The fourth proportional to 7,606.41, 11,410.16 and 2,059.80 is: 3,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.41 : 11,410.16 = 2,059.80 : x
  2. Step 2: Convert to fraction form
    7,606.41/11,410.16 = 2,059.80/x
  3. Step 3: Cross multiply
    7,606.41x = 11,410.16 × 2,059.80
  4. Step 4: Simplify right side
    7,606.41x = 23,502,637.27
  5. Step 5: Solve for x
    x = 23,502,637.27/7,606.41
  6. Step 6: Final answer
    x = 3,089.85

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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.