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Finding the Fourth Proportional to 7,781.36, 10,738.16 and 4,244.49

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Solution

The fourth proportional to 7,781.36, 10,738.16 and 4,244.49 is: 5,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.36 : 10,738.16 = 4,244.49 : x
  2. Step 2: Convert to fraction form
    7,781.36/10,738.16 = 4,244.49/x
  3. Step 3: Cross multiply
    7,781.36x = 10,738.16 × 4,244.49
  4. Step 4: Simplify right side
    7,781.36x = 45,577,991.52
  5. Step 5: Solve for x
    x = 45,577,991.52/7,781.36
  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.