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Finding the Fourth Proportional to 10,517.81, 14,514.53 and 5,737.73

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Solution

The fourth proportional to 10,517.81, 14,514.53 and 5,737.73 is: 7,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.81 : 14,514.53 = 5,737.73 : x
  2. Step 2: Convert to fraction form
    10,517.81/14,514.53 = 5,737.73/x
  3. Step 3: Cross multiply
    10,517.81x = 14,514.53 × 5,737.73
  4. Step 4: Simplify right side
    10,517.81x = 83,280,352.96
  5. Step 5: Solve for x
    x = 83,280,352.96/10,517.81
  6. Step 6: Final answer
    x = 7,918.04

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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.