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Finding the Fourth Proportional to 8,822.52, 12,179.08 and 5,640.16

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Solution

The fourth proportional to 8,822.52, 12,179.08 and 5,640.16 is: 7,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.52 : 12,179.08 = 5,640.16 : x
  2. Step 2: Convert to fraction form
    8,822.52/12,179.08 = 5,640.16/x
  3. Step 3: Cross multiply
    8,822.52x = 12,179.08 × 5,640.16
  4. Step 4: Simplify right side
    8,822.52x = 68,691,959.85
  5. Step 5: Solve for x
    x = 68,691,959.85/8,822.52
  6. Step 6: Final answer
    x = 7,785.98

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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.