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Finding the Fourth Proportional to 8,823.75, 12,177.17 and 5,286.88

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Solution

The fourth proportional to 8,823.75, 12,177.17 and 5,286.88 is: 7,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.75 : 12,177.17 = 5,286.88 : x
  2. Step 2: Convert to fraction form
    8,823.75/12,177.17 = 5,286.88/x
  3. Step 3: Cross multiply
    8,823.75x = 12,177.17 × 5,286.88
  4. Step 4: Simplify right side
    8,823.75x = 64,379,266.97
  5. Step 5: Solve for x
    x = 64,379,266.97/8,823.75
  6. Step 6: Final answer
    x = 7,296.14

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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.