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Finding the Fourth Proportional to 8,823.88, 12,177.92 and 5,640.12

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Solution

The fourth proportional to 8,823.88, 12,177.92 and 5,640.12 is: 7,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.88 : 12,177.92 = 5,640.12 : x
  2. Step 2: Convert to fraction form
    8,823.88/12,177.92 = 5,640.12/x
  3. Step 3: Cross multiply
    8,823.88x = 12,177.92 × 5,640.12
  4. Step 4: Simplify right side
    8,823.88x = 68,684,930.15
  5. Step 5: Solve for x
    x = 68,684,930.15/8,823.88
  6. Step 6: Final answer
    x = 7,783.98

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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.