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Finding the Fourth Proportional to 6,851.68, 10,270.84 and 3,565.12

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Solution

The fourth proportional to 6,851.68, 10,270.84 and 3,565.12 is: 5,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.68 : 10,270.84 = 3,565.12 : x
  2. Step 2: Convert to fraction form
    6,851.68/10,270.84 = 3,565.12/x
  3. Step 3: Cross multiply
    6,851.68x = 10,270.84 × 3,565.12
  4. Step 4: Simplify right side
    6,851.68x = 36,616,777.10
  5. Step 5: Solve for x
    x = 36,616,777.10/6,851.68
  6. Step 6: Final answer
    x = 5,344.20

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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.