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Finding the Fourth Proportional to 10,086.92, 13,919.74 and 5,610.57

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Solution

The fourth proportional to 10,086.92, 13,919.74 and 5,610.57 is: 7,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.92 : 13,919.74 = 5,610.57 : x
  2. Step 2: Convert to fraction form
    10,086.92/13,919.74 = 5,610.57/x
  3. Step 3: Cross multiply
    10,086.92x = 13,919.74 × 5,610.57
  4. Step 4: Simplify right side
    10,086.92x = 78,097,675.65
  5. Step 5: Solve for x
    x = 78,097,675.65/10,086.92
  6. Step 6: Final answer
    x = 7,742.47

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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.