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Finding the Fourth Proportional to 10,606.11, 14,641.92 and 7,476.27

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Solution

The fourth proportional to 10,606.11, 14,641.92 and 7,476.27 is: 10,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.11 : 14,641.92 = 7,476.27 : x
  2. Step 2: Convert to fraction form
    10,606.11/14,641.92 = 7,476.27/x
  3. Step 3: Cross multiply
    10,606.11x = 14,641.92 × 7,476.27
  4. Step 4: Simplify right side
    10,606.11x = 109,466,947.24
  5. Step 5: Solve for x
    x = 109,466,947.24/10,606.11
  6. Step 6: Final answer
    x = 10,321.12

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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.