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Finding the Fourth Proportional to 8,098.37, 12,128.41 and 6,331

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Solution

The fourth proportional to 8,098.37, 12,128.41 and 6,331 is: 9,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.37 : 12,128.41 = 6,331 : x
  2. Step 2: Convert to fraction form
    8,098.37/12,128.41 = 6,331/x
  3. Step 3: Cross multiply
    8,098.37x = 12,128.41 × 6,331
  4. Step 4: Simplify right side
    8,098.37x = 76,784,963.71
  5. Step 5: Solve for x
    x = 76,784,963.71/8,098.37
  6. Step 6: Final answer
    x = 9,481.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.