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Finding the Fourth Proportional to 10,469.34, 15,704.01 and 3,073.75

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Solution

The fourth proportional to 10,469.34, 15,704.01 and 3,073.75 is: 4,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.34 : 15,704.01 = 3,073.75 : x
  2. Step 2: Convert to fraction form
    10,469.34/15,704.01 = 3,073.75/x
  3. Step 3: Cross multiply
    10,469.34x = 15,704.01 × 3,073.75
  4. Step 4: Simplify right side
    10,469.34x = 48,270,161.48
  5. Step 5: Solve for x
    x = 48,270,161.48/10,469.34
  6. Step 6: Final answer
    x = 4,610.62

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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.