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Finding the Fourth Proportional to 10,523.62, 15,781.11 and 3,946.42

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Solution

The fourth proportional to 10,523.62, 15,781.11 and 3,946.42 is: 5,918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.62 : 15,781.11 = 3,946.42 : x
  2. Step 2: Convert to fraction form
    10,523.62/15,781.11 = 3,946.42/x
  3. Step 3: Cross multiply
    10,523.62x = 15,781.11 × 3,946.42
  4. Step 4: Simplify right side
    10,523.62x = 62,278,888.13
  5. Step 5: Solve for x
    x = 62,278,888.13/10,523.62
  6. Step 6: Final answer
    x = 5,918.01

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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.