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Finding the Fourth Proportional to 11,402.38, 15,735.12 and 6,366.68

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Solution

The fourth proportional to 11,402.38, 15,735.12 and 6,366.68 is: 8,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.38 : 15,735.12 = 6,366.68 : x
  2. Step 2: Convert to fraction form
    11,402.38/15,735.12 = 6,366.68/x
  3. Step 3: Cross multiply
    11,402.38x = 15,735.12 × 6,366.68
  4. Step 4: Simplify right side
    11,402.38x = 100,180,473.80
  5. Step 5: Solve for x
    x = 100,180,473.80/11,402.38
  6. Step 6: Final answer
    x = 8,785.93

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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.