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Finding the Fourth Proportional to 8,400.46, 11,593.68 and 5,424.93

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Solution

The fourth proportional to 8,400.46, 11,593.68 and 5,424.93 is: 7,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.46 : 11,593.68 = 5,424.93 : x
  2. Step 2: Convert to fraction form
    8,400.46/11,593.68 = 5,424.93/x
  3. Step 3: Cross multiply
    8,400.46x = 11,593.68 × 5,424.93
  4. Step 4: Simplify right side
    8,400.46x = 62,894,902.44
  5. Step 5: Solve for x
    x = 62,894,902.44/8,400.46
  6. Step 6: Final answer
    x = 7,487.08

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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.