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Finding the Fourth Proportional to 10,207.71, 15,311.79 and 3,967.11

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Solution

The fourth proportional to 10,207.71, 15,311.79 and 3,967.11 is: 5,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.71 : 15,311.79 = 3,967.11 : x
  2. Step 2: Convert to fraction form
    10,207.71/15,311.79 = 3,967.11/x
  3. Step 3: Cross multiply
    10,207.71x = 15,311.79 × 3,967.11
  4. Step 4: Simplify right side
    10,207.71x = 60,743,555.23
  5. Step 5: Solve for x
    x = 60,743,555.23/10,207.71
  6. Step 6: Final answer
    x = 5,950.75

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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.