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Finding the Fourth Proportional to 7,781.30, 10,738.19 and 4,244.51

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Solution

The fourth proportional to 7,781.30, 10,738.19 and 4,244.51 is: 5,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.30 : 10,738.19 = 4,244.51 : x
  2. Step 2: Convert to fraction form
    7,781.30/10,738.19 = 4,244.51/x
  3. Step 3: Cross multiply
    7,781.30x = 10,738.19 × 4,244.51
  4. Step 4: Simplify right side
    7,781.30x = 45,578,279.92
  5. Step 5: Solve for x
    x = 45,578,279.92/7,781.30
  6. Step 6: Final answer
    x = 5,857.42

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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.