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Finding the Fourth Proportional to 11,436.75, 15,781.64 and 6,400.71

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Solution

The fourth proportional to 11,436.75, 15,781.64 and 6,400.71 is: 8,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.75 : 15,781.64 = 6,400.71 : x
  2. Step 2: Convert to fraction form
    11,436.75/15,781.64 = 6,400.71/x
  3. Step 3: Cross multiply
    11,436.75x = 15,781.64 × 6,400.71
  4. Step 4: Simplify right side
    11,436.75x = 101,013,668.96
  5. Step 5: Solve for x
    x = 101,013,668.96/11,436.75
  6. Step 6: Final answer
    x = 8,832.38

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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.