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Finding the Fourth Proportional to 10,154.70, 15,232.67 and 3,914.73

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Solution

The fourth proportional to 10,154.70, 15,232.67 and 3,914.73 is: 5,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.70 : 15,232.67 = 3,914.73 : x
  2. Step 2: Convert to fraction form
    10,154.70/15,232.67 = 3,914.73/x
  3. Step 3: Cross multiply
    10,154.70x = 15,232.67 × 3,914.73
  4. Step 4: Simplify right side
    10,154.70x = 59,631,800.02
  5. Step 5: Solve for x
    x = 59,631,800.02/10,154.70
  6. Step 6: Final answer
    x = 5,872.33

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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.