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Finding the Fourth Proportional to 10,321.72, 15,488.73 and 3,748.42

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Solution

The fourth proportional to 10,321.72, 15,488.73 and 3,748.42 is: 5,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.72 : 15,488.73 = 3,748.42 : x
  2. Step 2: Convert to fraction form
    10,321.72/15,488.73 = 3,748.42/x
  3. Step 3: Cross multiply
    10,321.72x = 15,488.73 × 3,748.42
  4. Step 4: Simplify right side
    10,321.72x = 58,058,265.31
  5. Step 5: Solve for x
    x = 58,058,265.31/10,321.72
  6. Step 6: Final answer
    x = 5,624.86

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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.