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Finding the Fourth Proportional to 8,830.64, 12,186.24 and 5,472.38

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Solution

The fourth proportional to 8,830.64, 12,186.24 and 5,472.38 is: 7,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.64 : 12,186.24 = 5,472.38 : x
  2. Step 2: Convert to fraction form
    8,830.64/12,186.24 = 5,472.38/x
  3. Step 3: Cross multiply
    8,830.64x = 12,186.24 × 5,472.38
  4. Step 4: Simplify right side
    8,830.64x = 66,687,736.05
  5. Step 5: Solve for x
    x = 66,687,736.05/8,830.64
  6. Step 6: Final answer
    x = 7,551.86

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Why These Related Problems?

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