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Finding the Fourth Proportional to 8,686.66, 11,986.88 and 5,101.24

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Solution

The fourth proportional to 8,686.66, 11,986.88 and 5,101.24 is: 7,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.66 : 11,986.88 = 5,101.24 : x
  2. Step 2: Convert to fraction form
    8,686.66/11,986.88 = 5,101.24/x
  3. Step 3: Cross multiply
    8,686.66x = 11,986.88 × 5,101.24
  4. Step 4: Simplify right side
    8,686.66x = 61,147,951.73
  5. Step 5: Solve for x
    x = 61,147,951.73/8,686.66
  6. Step 6: Final answer
    x = 7,039.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.