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Finding the Fourth Proportional to 10,207.90, 15,310.47 and 3,967.31

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Solution

The fourth proportional to 10,207.90, 15,310.47 and 3,967.31 is: 5,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.90 : 15,310.47 = 3,967.31 : x
  2. Step 2: Convert to fraction form
    10,207.90/15,310.47 = 3,967.31/x
  3. Step 3: Cross multiply
    10,207.90x = 15,310.47 × 3,967.31
  4. Step 4: Simplify right side
    10,207.90x = 60,741,419.01
  5. Step 5: Solve for x
    x = 60,741,419.01/10,207.90
  6. Step 6: Final answer
    x = 5,950.43

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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.