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Finding the Fourth Proportional to 7,781.53, 10,738.56 and 4,244.80

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Solution

The fourth proportional to 7,781.53, 10,738.56 and 4,244.80 is: 5,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.53 : 10,738.56 = 4,244.80 : x
  2. Step 2: Convert to fraction form
    7,781.53/10,738.56 = 4,244.80/x
  3. Step 3: Cross multiply
    7,781.53x = 10,738.56 × 4,244.80
  4. Step 4: Simplify right side
    7,781.53x = 45,583,039.49
  5. Step 5: Solve for x
    x = 45,583,039.49/7,781.53
  6. Step 6: Final answer
    x = 5,857.85

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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.