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Finding the Fourth Proportional to 10,572.27, 14,591.29 and 6,095.15

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Solution

The fourth proportional to 10,572.27, 14,591.29 and 6,095.15 is: 8,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.27 : 14,591.29 = 6,095.15 : x
  2. Step 2: Convert to fraction form
    10,572.27/14,591.29 = 6,095.15/x
  3. Step 3: Cross multiply
    10,572.27x = 14,591.29 × 6,095.15
  4. Step 4: Simplify right side
    10,572.27x = 88,936,079.19
  5. Step 5: Solve for x
    x = 88,936,079.19/10,572.27
  6. Step 6: Final answer
    x = 8,412.20

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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.