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Finding the Fourth Proportional to 6,851.68, 10,278.14 and 2,691.40

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Solution

The fourth proportional to 6,851.68, 10,278.14 and 2,691.40 is: 4,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.68 : 10,278.14 = 2,691.40 : x
  2. Step 2: Convert to fraction form
    6,851.68/10,278.14 = 2,691.40/x
  3. Step 3: Cross multiply
    6,851.68x = 10,278.14 × 2,691.40
  4. Step 4: Simplify right side
    6,851.68x = 27,662,586.00
  5. Step 5: Solve for x
    x = 27,662,586.00/6,851.68
  6. Step 6: Final answer
    x = 4,037.34

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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.