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Finding the Fourth Proportional to 10,702.82, 16,058.82 and 5,771.30

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Solution

The fourth proportional to 10,702.82, 16,058.82 and 5,771.30 is: 8,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.82 : 16,058.82 = 5,771.30 : x
  2. Step 2: Convert to fraction form
    10,702.82/16,058.82 = 5,771.30/x
  3. Step 3: Cross multiply
    10,702.82x = 16,058.82 × 5,771.30
  4. Step 4: Simplify right side
    10,702.82x = 92,680,187.57
  5. Step 5: Solve for x
    x = 92,680,187.57/10,702.82
  6. Step 6: Final answer
    x = 8,659.42

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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.