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Finding the Fourth Proportional to 10,229.72, 15,332 and 5,296.54

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Solution

The fourth proportional to 10,229.72, 15,332 and 5,296.54 is: 7,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.72 : 15,332 = 5,296.54 : x
  2. Step 2: Convert to fraction form
    10,229.72/15,332 = 5,296.54/x
  3. Step 3: Cross multiply
    10,229.72x = 15,332 × 5,296.54
  4. Step 4: Simplify right side
    10,229.72x = 81,206,551.28
  5. Step 5: Solve for x
    x = 81,206,551.28/10,229.72
  6. Step 6: Final answer
    x = 7,938.30

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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.