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Finding the Fourth Proportional to 8,378.62, 11,562.50 and 5,234.78

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Solution

The fourth proportional to 8,378.62, 11,562.50 and 5,234.78 is: 7,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.62 : 11,562.50 = 5,234.78 : x
  2. Step 2: Convert to fraction form
    8,378.62/11,562.50 = 5,234.78/x
  3. Step 3: Cross multiply
    8,378.62x = 11,562.50 × 5,234.78
  4. Step 4: Simplify right side
    8,378.62x = 60,527,143.75
  5. Step 5: Solve for x
    x = 60,527,143.75/8,378.62
  6. Step 6: Final answer
    x = 7,224.00

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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.