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Finding the Fourth Proportional to 6,847.68, 10,271.58 and 2,167.61

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Solution

The fourth proportional to 6,847.68, 10,271.58 and 2,167.61 is: 3,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.68 : 10,271.58 = 2,167.61 : x
  2. Step 2: Convert to fraction form
    6,847.68/10,271.58 = 2,167.61/x
  3. Step 3: Cross multiply
    6,847.68x = 10,271.58 × 2,167.61
  4. Step 4: Simplify right side
    6,847.68x = 22,264,728.17
  5. Step 5: Solve for x
    x = 22,264,728.17/6,847.68
  6. Step 6: Final answer
    x = 3,251.43

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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.