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Finding the Fourth Proportional to 10,205.43, 15,308.15 and 6,741.87

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Solution

The fourth proportional to 10,205.43, 15,308.15 and 6,741.87 is: 10,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.43 : 15,308.15 = 6,741.87 : x
  2. Step 2: Convert to fraction form
    10,205.43/15,308.15 = 6,741.87/x
  3. Step 3: Cross multiply
    10,205.43x = 15,308.15 × 6,741.87
  4. Step 4: Simplify right side
    10,205.43x = 103,205,523.53
  5. Step 5: Solve for x
    x = 103,205,523.53/10,205.43
  6. Step 6: Final answer
    x = 10,112.81

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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.