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Finding the Fourth Proportional to 10,702.26, 14,768.82 and 5,986.58

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Solution

The fourth proportional to 10,702.26, 14,768.82 and 5,986.58 is: 8,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.26 : 14,768.82 = 5,986.58 : x
  2. Step 2: Convert to fraction form
    10,702.26/14,768.82 = 5,986.58/x
  3. Step 3: Cross multiply
    10,702.26x = 14,768.82 × 5,986.58
  4. Step 4: Simplify right side
    10,702.26x = 88,414,722.44
  5. Step 5: Solve for x
    x = 88,414,722.44/10,702.26
  6. Step 6: Final answer
    x = 8,261.31

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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.