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Finding the Fourth Proportional to 6,781.60, 9,361.96 and 5,175.07

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Solution

The fourth proportional to 6,781.60, 9,361.96 and 5,175.07 is: 7,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.60 : 9,361.96 = 5,175.07 : x
  2. Step 2: Convert to fraction form
    6,781.60/9,361.96 = 5,175.07/x
  3. Step 3: Cross multiply
    6,781.60x = 9,361.96 × 5,175.07
  4. Step 4: Simplify right side
    6,781.60x = 48,448,791.10
  5. Step 5: Solve for x
    x = 48,448,791.10/6,781.60
  6. Step 6: Final answer
    x = 7,144.15

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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.