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Finding the Fourth Proportional to 8,824.32, 12,177.36 and 5,238.72

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Solution

The fourth proportional to 8,824.32, 12,177.36 and 5,238.72 is: 7,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.32 : 12,177.36 = 5,238.72 : x
  2. Step 2: Convert to fraction form
    8,824.32/12,177.36 = 5,238.72/x
  3. Step 3: Cross multiply
    8,824.32x = 12,177.36 × 5,238.72
  4. Step 4: Simplify right side
    8,824.32x = 63,793,779.38
  5. Step 5: Solve for x
    x = 63,793,779.38/8,824.32
  6. Step 6: Final answer
    x = 7,229.31

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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.