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Finding the Fourth Proportional to 10,401.12, 15,607.82 and 5,471.14

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Solution

The fourth proportional to 10,401.12, 15,607.82 and 5,471.14 is: 8,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.12 : 15,607.82 = 5,471.14 : x
  2. Step 2: Convert to fraction form
    10,401.12/15,607.82 = 5,471.14/x
  3. Step 3: Cross multiply
    10,401.12x = 15,607.82 × 5,471.14
  4. Step 4: Simplify right side
    10,401.12x = 85,392,568.31
  5. Step 5: Solve for x
    x = 85,392,568.31/10,401.12
  6. Step 6: Final answer
    x = 8,209.94

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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.