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Finding the Fourth Proportional to 10,086.68, 13,918.82 and 5,610.62

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Solution

The fourth proportional to 10,086.68, 13,918.82 and 5,610.62 is: 7,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.68 : 13,918.82 = 5,610.62 : x
  2. Step 2: Convert to fraction form
    10,086.68/13,918.82 = 5,610.62/x
  3. Step 3: Cross multiply
    10,086.68x = 13,918.82 × 5,610.62
  4. Step 4: Simplify right side
    10,086.68x = 78,093,209.87
  5. Step 5: Solve for x
    x = 78,093,209.87/10,086.68
  6. Step 6: Final answer
    x = 7,742.21

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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.