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Finding the Fourth Proportional to 6,240.14, 8,611.25 and 3,407.41

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Solution

The fourth proportional to 6,240.14, 8,611.25 and 3,407.41 is: 4,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,240.14 : 8,611.25 = 3,407.41 : x
  2. Step 2: Convert to fraction form
    6,240.14/8,611.25 = 3,407.41/x
  3. Step 3: Cross multiply
    6,240.14x = 8,611.25 × 3,407.41
  4. Step 4: Simplify right side
    6,240.14x = 29,342,046.35
  5. Step 5: Solve for x
    x = 29,342,046.35/6,240.14
  6. Step 6: Final answer
    x = 4,702.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.