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Finding the Fourth Proportional to 7,346.80, 11,022.90 and 2,964.70

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Solution

The fourth proportional to 7,346.80, 11,022.90 and 2,964.70 is: 4,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.80 : 11,022.90 = 2,964.70 : x
  2. Step 2: Convert to fraction form
    7,346.80/11,022.90 = 2,964.70/x
  3. Step 3: Cross multiply
    7,346.80x = 11,022.90 × 2,964.70
  4. Step 4: Simplify right side
    7,346.80x = 32,679,591.63
  5. Step 5: Solve for x
    x = 32,679,591.63/7,346.80
  6. Step 6: Final answer
    x = 4,448.14

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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.