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Finding the Fourth Proportional to 8,338.72, 11,494.20 and 6,567.52

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Solution

The fourth proportional to 8,338.72, 11,494.20 and 6,567.52 is: 9,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.72 : 11,494.20 = 6,567.52 : x
  2. Step 2: Convert to fraction form
    8,338.72/11,494.20 = 6,567.52/x
  3. Step 3: Cross multiply
    8,338.72x = 11,494.20 × 6,567.52
  4. Step 4: Simplify right side
    8,338.72x = 75,488,388.38
  5. Step 5: Solve for x
    x = 75,488,388.38/8,338.72
  6. Step 6: Final answer
    x = 9,052.75

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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.