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Finding the Fourth Proportional to 10,702.12, 14,766.82 and 5,986.28

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Solution

The fourth proportional to 10,702.12, 14,766.82 and 5,986.28 is: 8,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.12 : 14,766.82 = 5,986.28 : x
  2. Step 2: Convert to fraction form
    10,702.12/14,766.82 = 5,986.28/x
  3. Step 3: Cross multiply
    10,702.12x = 14,766.82 × 5,986.28
  4. Step 4: Simplify right side
    10,702.12x = 88,398,319.23
  5. Step 5: Solve for x
    x = 88,398,319.23/10,702.12
  6. Step 6: Final answer
    x = 8,259.89

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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.