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Finding the Fourth Proportional to 10,592.76, 14,617.92 and 5,877.04

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Solution

The fourth proportional to 10,592.76, 14,617.92 and 5,877.04 is: 8,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.76 : 14,617.92 = 5,877.04 : x
  2. Step 2: Convert to fraction form
    10,592.76/14,617.92 = 5,877.04/x
  3. Step 3: Cross multiply
    10,592.76x = 14,617.92 × 5,877.04
  4. Step 4: Simplify right side
    10,592.76x = 85,910,100.56
  5. Step 5: Solve for x
    x = 85,910,100.56/10,592.76
  6. Step 6: Final answer
    x = 8,110.27

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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.