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Finding the Fourth Proportional to 8,247.80, 12,376.14 and 5,475.78

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Solution

The fourth proportional to 8,247.80, 12,376.14 and 5,475.78 is: 8,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.80 : 12,376.14 = 5,475.78 : x
  2. Step 2: Convert to fraction form
    8,247.80/12,376.14 = 5,475.78/x
  3. Step 3: Cross multiply
    8,247.80x = 12,376.14 × 5,475.78
  4. Step 4: Simplify right side
    8,247.80x = 67,768,995.35
  5. Step 5: Solve for x
    x = 67,768,995.35/8,247.80
  6. Step 6: Final answer
    x = 8,216.62

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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.