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Finding the Fourth Proportional to 8,468.90, 11,689.56 and 5,640.38

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Solution

The fourth proportional to 8,468.90, 11,689.56 and 5,640.38 is: 7,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.90 : 11,689.56 = 5,640.38 : x
  2. Step 2: Convert to fraction form
    8,468.90/11,689.56 = 5,640.38/x
  3. Step 3: Cross multiply
    8,468.90x = 11,689.56 × 5,640.38
  4. Step 4: Simplify right side
    8,468.90x = 65,933,560.43
  5. Step 5: Solve for x
    x = 65,933,560.43/8,468.90
  6. Step 6: Final answer
    x = 7,785.37

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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.