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Finding the Fourth Proportional to 10,571.10, 15,850.89 and 5,381.34

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Solution

The fourth proportional to 10,571.10, 15,850.89 and 5,381.34 is: 8,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.10 : 15,850.89 = 5,381.34 : x
  2. Step 2: Convert to fraction form
    10,571.10/15,850.89 = 5,381.34/x
  3. Step 3: Cross multiply
    10,571.10x = 15,850.89 × 5,381.34
  4. Step 4: Simplify right side
    10,571.10x = 85,299,028.39
  5. Step 5: Solve for x
    x = 85,299,028.39/10,571.10
  6. Step 6: Final answer
    x = 8,069.08

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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.