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Finding the Fourth Proportional to 6,861.42, 10,292.12 and 2,478.88

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Solution

The fourth proportional to 6,861.42, 10,292.12 and 2,478.88 is: 3,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.42 : 10,292.12 = 2,478.88 : x
  2. Step 2: Convert to fraction form
    6,861.42/10,292.12 = 2,478.88/x
  3. Step 3: Cross multiply
    6,861.42x = 10,292.12 × 2,478.88
  4. Step 4: Simplify right side
    6,861.42x = 25,512,930.43
  5. Step 5: Solve for x
    x = 25,512,930.43/6,861.42
  6. Step 6: Final answer
    x = 3,718.32

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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.