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Finding the Fourth Proportional to 10,144.61, 15,218.13 and 3,571.46

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Solution

The fourth proportional to 10,144.61, 15,218.13 and 3,571.46 is: 5,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.61 : 15,218.13 = 3,571.46 : x
  2. Step 2: Convert to fraction form
    10,144.61/15,218.13 = 3,571.46/x
  3. Step 3: Cross multiply
    10,144.61x = 15,218.13 × 3,571.46
  4. Step 4: Simplify right side
    10,144.61x = 54,350,916.85
  5. Step 5: Solve for x
    x = 54,350,916.85/10,144.61
  6. Step 6: Final answer
    x = 5,357.62

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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.