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Finding the Fourth Proportional to 10,591.17, 14,615.24 and 5,875.17

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Solution

The fourth proportional to 10,591.17, 14,615.24 and 5,875.17 is: 8,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.17 : 14,615.24 = 5,875.17 : x
  2. Step 2: Convert to fraction form
    10,591.17/14,615.24 = 5,875.17/x
  3. Step 3: Cross multiply
    10,591.17x = 14,615.24 × 5,875.17
  4. Step 4: Simplify right side
    10,591.17x = 85,866,990.21
  5. Step 5: Solve for x
    x = 85,866,990.21/10,591.17
  6. Step 6: Final answer
    x = 8,107.41

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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.