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Finding the Fourth Proportional to 6,781.61, 10,164.22 and 3,080.12

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Solution

The fourth proportional to 6,781.61, 10,164.22 and 3,080.12 is: 4,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.61 : 10,164.22 = 3,080.12 : x
  2. Step 2: Convert to fraction form
    6,781.61/10,164.22 = 3,080.12/x
  3. Step 3: Cross multiply
    6,781.61x = 10,164.22 × 3,080.12
  4. Step 4: Simplify right side
    6,781.61x = 31,306,958.79
  5. Step 5: Solve for x
    x = 31,306,958.79/6,781.61
  6. Step 6: Final answer
    x = 4,616.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.