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Finding the Fourth Proportional to 10,591.66, 14,615.96 and 6,116.83

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Solution

The fourth proportional to 10,591.66, 14,615.96 and 6,116.83 is: 8,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.66 : 14,615.96 = 6,116.83 : x
  2. Step 2: Convert to fraction form
    10,591.66/14,615.96 = 6,116.83/x
  3. Step 3: Cross multiply
    10,591.66x = 14,615.96 × 6,116.83
  4. Step 4: Simplify right side
    10,591.66x = 89,403,392.10
  5. Step 5: Solve for x
    x = 89,403,392.10/10,591.66
  6. Step 6: Final answer
    x = 8,440.92

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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.