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Finding the Fourth Proportional to 10,401.27, 15,602.10 and 2,609.88

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Solution

The fourth proportional to 10,401.27, 15,602.10 and 2,609.88 is: 3,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.27 : 15,602.10 = 2,609.88 : x
  2. Step 2: Convert to fraction form
    10,401.27/15,602.10 = 2,609.88/x
  3. Step 3: Cross multiply
    10,401.27x = 15,602.10 × 2,609.88
  4. Step 4: Simplify right side
    10,401.27x = 40,719,608.75
  5. Step 5: Solve for x
    x = 40,719,608.75/10,401.27
  6. Step 6: Final answer
    x = 3,914.87

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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.