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Finding the Fourth Proportional to 10,663.13, 14,715.11 and 5,947.41

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Solution

The fourth proportional to 10,663.13, 14,715.11 and 5,947.41 is: 8,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.13 : 14,715.11 = 5,947.41 : x
  2. Step 2: Convert to fraction form
    10,663.13/14,715.11 = 5,947.41/x
  3. Step 3: Cross multiply
    10,663.13x = 14,715.11 × 5,947.41
  4. Step 4: Simplify right side
    10,663.13x = 87,516,807.23
  5. Step 5: Solve for x
    x = 87,516,807.23/10,663.13
  6. Step 6: Final answer
    x = 8,207.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.