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Finding the Fourth Proportional to 10,089.43, 13,922.94 and 5,613.15

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Solution

The fourth proportional to 10,089.43, 13,922.94 and 5,613.15 is: 7,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.43 : 13,922.94 = 5,613.15 : x
  2. Step 2: Convert to fraction form
    10,089.43/13,922.94 = 5,613.15/x
  3. Step 3: Cross multiply
    10,089.43x = 13,922.94 × 5,613.15
  4. Step 4: Simplify right side
    10,089.43x = 78,151,550.66
  5. Step 5: Solve for x
    x = 78,151,550.66/10,089.43
  6. Step 6: Final answer
    x = 7,745.88

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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.