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Finding the Fourth Proportional to 11,624.78, 17,441.50 and 5,387.78

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Solution

The fourth proportional to 11,624.78, 17,441.50 and 5,387.78 is: 8,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.78 : 17,441.50 = 5,387.78 : x
  2. Step 2: Convert to fraction form
    11,624.78/17,441.50 = 5,387.78/x
  3. Step 3: Cross multiply
    11,624.78x = 17,441.50 × 5,387.78
  4. Step 4: Simplify right side
    11,624.78x = 93,970,964.87
  5. Step 5: Solve for x
    x = 93,970,964.87/11,624.78
  6. Step 6: Final answer
    x = 8,083.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.