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Finding the Fourth Proportional to 8,159.20, 12,238.80 and 4,264.80

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Solution

The fourth proportional to 8,159.20, 12,238.80 and 4,264.80 is: 6,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.20 : 12,238.80 = 4,264.80 : x
  2. Step 2: Convert to fraction form
    8,159.20/12,238.80 = 4,264.80/x
  3. Step 3: Cross multiply
    8,159.20x = 12,238.80 × 4,264.80
  4. Step 4: Simplify right side
    8,159.20x = 52,196,034.24
  5. Step 5: Solve for x
    x = 52,196,034.24/8,159.20
  6. Step 6: Final answer
    x = 6,397.20

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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.