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Finding the Fourth Proportional to 7,781.39, 10,738.27 and 4,244.53

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Solution

The fourth proportional to 7,781.39, 10,738.27 and 4,244.53 is: 5,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.39 : 10,738.27 = 4,244.53 : x
  2. Step 2: Convert to fraction form
    7,781.39/10,738.27 = 4,244.53/x
  3. Step 3: Cross multiply
    7,781.39x = 10,738.27 × 4,244.53
  4. Step 4: Simplify right side
    7,781.39x = 45,578,909.16
  5. Step 5: Solve for x
    x = 45,578,909.16/7,781.39
  6. Step 6: Final answer
    x = 5,857.43

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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.