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Finding the Fourth Proportional to 10,446, 15,669.38 and 3,425.73

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Solution

The fourth proportional to 10,446, 15,669.38 and 3,425.73 is: 5,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446 : 15,669.38 = 3,425.73 : x
  2. Step 2: Convert to fraction form
    10,446/15,669.38 = 3,425.73/x
  3. Step 3: Cross multiply
    10,446x = 15,669.38 × 3,425.73
  4. Step 4: Simplify right side
    10,446x = 53,679,048.02
  5. Step 5: Solve for x
    x = 53,679,048.02/10,446
  6. Step 6: Final answer
    x = 5,138.72

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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.