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Finding the Fourth Proportional to 10,319.34, 15,472.13 and 3,744.67

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Solution

The fourth proportional to 10,319.34, 15,472.13 and 3,744.67 is: 5,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.34 : 15,472.13 = 3,744.67 : x
  2. Step 2: Convert to fraction form
    10,319.34/15,472.13 = 3,744.67/x
  3. Step 3: Cross multiply
    10,319.34x = 15,472.13 × 3,744.67
  4. Step 4: Simplify right side
    10,319.34x = 57,938,021.05
  5. Step 5: Solve for x
    x = 57,938,021.05/10,319.34
  6. Step 6: Final answer
    x = 5,614.51

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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.