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Finding the Fourth Proportional to 6,781.68, 9,350.28 and 5,190.36

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Solution

The fourth proportional to 6,781.68, 9,350.28 and 5,190.36 is: 7,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.68 : 9,350.28 = 5,190.36 : x
  2. Step 2: Convert to fraction form
    6,781.68/9,350.28 = 5,190.36/x
  3. Step 3: Cross multiply
    6,781.68x = 9,350.28 × 5,190.36
  4. Step 4: Simplify right side
    6,781.68x = 48,531,319.30
  5. Step 5: Solve for x
    x = 48,531,319.30/6,781.68
  6. Step 6: Final answer
    x = 7,156.24

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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.