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Finding the Fourth Proportional to 10,591.76, 14,617.68 and 6,115.68

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Solution

The fourth proportional to 10,591.76, 14,617.68 and 6,115.68 is: 8,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.76 : 14,617.68 = 6,115.68 : x
  2. Step 2: Convert to fraction form
    10,591.76/14,617.68 = 6,115.68/x
  3. Step 3: Cross multiply
    10,591.76x = 14,617.68 × 6,115.68
  4. Step 4: Simplify right side
    10,591.76x = 89,397,053.22
  5. Step 5: Solve for x
    x = 89,397,053.22/10,591.76
  6. Step 6: Final answer
    x = 8,440.25

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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.