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Finding the Fourth Proportional to 8,686.74, 13,028.12 and 5,177.74

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Solution

The fourth proportional to 8,686.74, 13,028.12 and 5,177.74 is: 7,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.74 : 13,028.12 = 5,177.74 : x
  2. Step 2: Convert to fraction form
    8,686.74/13,028.12 = 5,177.74/x
  3. Step 3: Cross multiply
    8,686.74x = 13,028.12 × 5,177.74
  4. Step 4: Simplify right side
    8,686.74x = 67,456,192.16
  5. Step 5: Solve for x
    x = 67,456,192.16/8,686.74
  6. Step 6: Final answer
    x = 7,765.42

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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.