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Finding the Fourth Proportional to 10,591.98, 14,616.80 and 5,876.24

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Solution

The fourth proportional to 10,591.98, 14,616.80 and 5,876.24 is: 8,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.98 : 14,616.80 = 5,876.24 : x
  2. Step 2: Convert to fraction form
    10,591.98/14,616.80 = 5,876.24/x
  3. Step 3: Cross multiply
    10,591.98x = 14,616.80 × 5,876.24
  4. Step 4: Simplify right side
    10,591.98x = 85,891,824.83
  5. Step 5: Solve for x
    x = 85,891,824.83/10,591.98
  6. Step 6: Final answer
    x = 8,109.14

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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.