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Finding the Fourth Proportional to 8,753.36, 13,099.20 and 5,468

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Solution

The fourth proportional to 8,753.36, 13,099.20 and 5,468 is: 8,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,753.36 : 13,099.20 = 5,468 : x
  2. Step 2: Convert to fraction form
    8,753.36/13,099.20 = 5,468/x
  3. Step 3: Cross multiply
    8,753.36x = 13,099.20 × 5,468
  4. Step 4: Simplify right side
    8,753.36x = 71,626,425.60
  5. Step 5: Solve for x
    x = 71,626,425.60/8,753.36
  6. Step 6: Final answer
    x = 8,182.74

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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.