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Finding the Fourth Proportional to 10,591.56, 14,616.80 and 5,876.75

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Solution

The fourth proportional to 10,591.56, 14,616.80 and 5,876.75 is: 8,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.56 : 14,616.80 = 5,876.75 : x
  2. Step 2: Convert to fraction form
    10,591.56/14,616.80 = 5,876.75/x
  3. Step 3: Cross multiply
    10,591.56x = 14,616.80 × 5,876.75
  4. Step 4: Simplify right side
    10,591.56x = 85,899,341.65
  5. Step 5: Solve for x
    x = 85,899,341.65/10,591.56
  6. Step 6: Final answer
    x = 8,110.17

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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.