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Finding the Fourth Proportional to 10,189.86, 15,286.15 and 4,032.42

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Solution

The fourth proportional to 10,189.86, 15,286.15 and 4,032.42 is: 6,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.86 : 15,286.15 = 4,032.42 : x
  2. Step 2: Convert to fraction form
    10,189.86/15,286.15 = 4,032.42/x
  3. Step 3: Cross multiply
    10,189.86x = 15,286.15 × 4,032.42
  4. Step 4: Simplify right side
    10,189.86x = 61,640,080.39
  5. Step 5: Solve for x
    x = 61,640,080.39/10,189.86
  6. Step 6: Final answer
    x = 6,049.16

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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.