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Finding the Fourth Proportional to 8,686.97, 12,992.87 and 5,120.60

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Solution

The fourth proportional to 8,686.97, 12,992.87 and 5,120.60 is: 7,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.97 : 12,992.87 = 5,120.60 : x
  2. Step 2: Convert to fraction form
    8,686.97/12,992.87 = 5,120.60/x
  3. Step 3: Cross multiply
    8,686.97x = 12,992.87 × 5,120.60
  4. Step 4: Simplify right side
    8,686.97x = 66,531,199.55
  5. Step 5: Solve for x
    x = 66,531,199.55/8,686.97
  6. Step 6: Final answer
    x = 7,658.74

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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.