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Finding the Fourth Proportional to 10,702.17, 14,769.27 and 5,986.44

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Solution

The fourth proportional to 10,702.17, 14,769.27 and 5,986.44 is: 8,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.17 : 14,769.27 = 5,986.44 : x
  2. Step 2: Convert to fraction form
    10,702.17/14,769.27 = 5,986.44/x
  3. Step 3: Cross multiply
    10,702.17x = 14,769.27 × 5,986.44
  4. Step 4: Simplify right side
    10,702.17x = 88,415,348.70
  5. Step 5: Solve for x
    x = 88,415,348.70/10,702.17
  6. Step 6: Final answer
    x = 8,261.44

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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.