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Finding the Fourth Proportional to 10,086.80, 13,920.93 and 6,107.85

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Solution

The fourth proportional to 10,086.80, 13,920.93 and 6,107.85 is: 8,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.80 : 13,920.93 = 6,107.85 : x
  2. Step 2: Convert to fraction form
    10,086.80/13,920.93 = 6,107.85/x
  3. Step 3: Cross multiply
    10,086.80x = 13,920.93 × 6,107.85
  4. Step 4: Simplify right side
    10,086.80x = 85,026,952.30
  5. Step 5: Solve for x
    x = 85,026,952.30/10,086.80
  6. Step 6: Final answer
    x = 8,429.53

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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.