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Finding the Fourth Proportional to 6,851.68, 10,278.55 and 2,468.11

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Solution

The fourth proportional to 6,851.68, 10,278.55 and 2,468.11 is: 3,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.68 : 10,278.55 = 2,468.11 : x
  2. Step 2: Convert to fraction form
    6,851.68/10,278.55 = 2,468.11/x
  3. Step 3: Cross multiply
    6,851.68x = 10,278.55 × 2,468.11
  4. Step 4: Simplify right side
    6,851.68x = 25,368,560.17
  5. Step 5: Solve for x
    x = 25,368,560.17/6,851.68
  6. Step 6: Final answer
    x = 3,702.53

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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.