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Finding the Fourth Proportional to 6,862.74, 10,294.88 and 2,702.20

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Solution

The fourth proportional to 6,862.74, 10,294.88 and 2,702.20 is: 4,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.74 : 10,294.88 = 2,702.20 : x
  2. Step 2: Convert to fraction form
    6,862.74/10,294.88 = 2,702.20/x
  3. Step 3: Cross multiply
    6,862.74x = 10,294.88 × 2,702.20
  4. Step 4: Simplify right side
    6,862.74x = 27,818,824.74
  5. Step 5: Solve for x
    x = 27,818,824.74/6,862.74
  6. Step 6: Final answer
    x = 4,053.60

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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.