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Finding the Fourth Proportional to 8,159.16, 12,238.74 and 6,439.80

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Solution

The fourth proportional to 8,159.16, 12,238.74 and 6,439.80 is: 9,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.16 : 12,238.74 = 6,439.80 : x
  2. Step 2: Convert to fraction form
    8,159.16/12,238.74 = 6,439.80/x
  3. Step 3: Cross multiply
    8,159.16x = 12,238.74 × 6,439.80
  4. Step 4: Simplify right side
    8,159.16x = 78,815,037.85
  5. Step 5: Solve for x
    x = 78,815,037.85/8,159.16
  6. Step 6: Final answer
    x = 9,659.70

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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.