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Finding the Fourth Proportional to 8,159.61, 11,175.91 and 7,680.87

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Solution

The fourth proportional to 8,159.61, 11,175.91 and 7,680.87 is: 10,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.61 : 11,175.91 = 7,680.87 : x
  2. Step 2: Convert to fraction form
    8,159.61/11,175.91 = 7,680.87/x
  3. Step 3: Cross multiply
    8,159.61x = 11,175.91 × 7,680.87
  4. Step 4: Simplify right side
    8,159.61x = 85,840,692.64
  5. Step 5: Solve for x
    x = 85,840,692.64/8,159.61
  6. Step 6: Final answer
    x = 10,520.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.