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Finding the Fourth Proportional to 10,441.75, 15,661.11 and 3,044.23

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Solution

The fourth proportional to 10,441.75, 15,661.11 and 3,044.23 is: 4,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.75 : 15,661.11 = 3,044.23 : x
  2. Step 2: Convert to fraction form
    10,441.75/15,661.11 = 3,044.23/x
  3. Step 3: Cross multiply
    10,441.75x = 15,661.11 × 3,044.23
  4. Step 4: Simplify right side
    10,441.75x = 47,676,020.90
  5. Step 5: Solve for x
    x = 47,676,020.90/10,441.75
  6. Step 6: Final answer
    x = 4,565.90

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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.