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Finding the Fourth Proportional to 7,781.29, 10,738.23 and 4,244.42

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Solution

The fourth proportional to 7,781.29, 10,738.23 and 4,244.42 is: 5,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.29 : 10,738.23 = 4,244.42 : x
  2. Step 2: Convert to fraction form
    7,781.29/10,738.23 = 4,244.42/x
  3. Step 3: Cross multiply
    7,781.29x = 10,738.23 × 4,244.42
  4. Step 4: Simplify right side
    7,781.29x = 45,577,558.18
  5. Step 5: Solve for x
    x = 45,577,558.18/7,781.29
  6. Step 6: Final answer
    x = 5,857.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.