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Finding the Fourth Proportional to 10,591.29, 14,616.09 and 6,114.17

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Solution

The fourth proportional to 10,591.29, 14,616.09 and 6,114.17 is: 8,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.29 : 14,616.09 = 6,114.17 : x
  2. Step 2: Convert to fraction form
    10,591.29/14,616.09 = 6,114.17/x
  3. Step 3: Cross multiply
    10,591.29x = 14,616.09 × 6,114.17
  4. Step 4: Simplify right side
    10,591.29x = 89,365,295.54
  5. Step 5: Solve for x
    x = 89,365,295.54/10,591.29
  6. Step 6: Final answer
    x = 8,437.62

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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.