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Finding the Fourth Proportional to 10,296.49, 15,434.13 and 4,053.97

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Solution

The fourth proportional to 10,296.49, 15,434.13 and 4,053.97 is: 6,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.49 : 15,434.13 = 4,053.97 : x
  2. Step 2: Convert to fraction form
    10,296.49/15,434.13 = 4,053.97/x
  3. Step 3: Cross multiply
    10,296.49x = 15,434.13 × 4,053.97
  4. Step 4: Simplify right side
    10,296.49x = 62,569,500.00
  5. Step 5: Solve for x
    x = 62,569,500.00/10,296.49
  6. Step 6: Final answer
    x = 6,076.78

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