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Finding the Fourth Proportional to 8,337.60, 11,510.68 and 6,224.78

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Solution

The fourth proportional to 8,337.60, 11,510.68 and 6,224.78 is: 8,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.60 : 11,510.68 = 6,224.78 : x
  2. Step 2: Convert to fraction form
    8,337.60/11,510.68 = 6,224.78/x
  3. Step 3: Cross multiply
    8,337.60x = 11,510.68 × 6,224.78
  4. Step 4: Simplify right side
    8,337.60x = 71,651,450.65
  5. Step 5: Solve for x
    x = 71,651,450.65/8,337.60
  6. Step 6: Final answer
    x = 8,593.77

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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.