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Finding the Fourth Proportional to 10,086.80, 13,920.09 and 5,611.10

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Solution

The fourth proportional to 10,086.80, 13,920.09 and 5,611.10 is: 7,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.80 : 13,920.09 = 5,611.10 : x
  2. Step 2: Convert to fraction form
    10,086.80/13,920.09 = 5,611.10/x
  3. Step 3: Cross multiply
    10,086.80x = 13,920.09 × 5,611.10
  4. Step 4: Simplify right side
    10,086.80x = 78,107,017.00
  5. Step 5: Solve for x
    x = 78,107,017.00/10,086.80
  6. Step 6: Final answer
    x = 7,743.49

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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.