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Finding the Fourth Proportional to 10,702.90, 16,058.89 and 5,766.80

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Solution

The fourth proportional to 10,702.90, 16,058.89 and 5,766.80 is: 8,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.90 : 16,058.89 = 5,766.80 : x
  2. Step 2: Convert to fraction form
    10,702.90/16,058.89 = 5,766.80/x
  3. Step 3: Cross multiply
    10,702.90x = 16,058.89 × 5,766.80
  4. Step 4: Simplify right side
    10,702.90x = 92,608,406.85
  5. Step 5: Solve for x
    x = 92,608,406.85/10,702.90
  6. Step 6: Final answer
    x = 8,652.65

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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.