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Finding the Fourth Proportional to 6,862.44, 10,294.20 and 2,702.16

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Solution

The fourth proportional to 6,862.44, 10,294.20 and 2,702.16 is: 4,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.44 : 10,294.20 = 2,702.16 : x
  2. Step 2: Convert to fraction form
    6,862.44/10,294.20 = 2,702.16/x
  3. Step 3: Cross multiply
    6,862.44x = 10,294.20 × 2,702.16
  4. Step 4: Simplify right side
    6,862.44x = 27,816,575.47
  5. Step 5: Solve for x
    x = 27,816,575.47/6,862.44
  6. Step 6: Final answer
    x = 4,053.45

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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.