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Finding the Fourth Proportional to 10,402.72, 15,609.89 and 4,163.20

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Solution

The fourth proportional to 10,402.72, 15,609.89 and 4,163.20 is: 6,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.72 : 15,609.89 = 4,163.20 : x
  2. Step 2: Convert to fraction form
    10,402.72/15,609.89 = 4,163.20/x
  3. Step 3: Cross multiply
    10,402.72x = 15,609.89 × 4,163.20
  4. Step 4: Simplify right side
    10,402.72x = 64,987,065.43
  5. Step 5: Solve for x
    x = 64,987,065.43/10,402.72
  6. Step 6: Final answer
    x = 6,247.12

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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.