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Finding the Fourth Proportional to 10,441.43, 15,662.10 and 2,543.85

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Solution

The fourth proportional to 10,441.43, 15,662.10 and 2,543.85 is: 3,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.43 : 15,662.10 = 2,543.85 : x
  2. Step 2: Convert to fraction form
    10,441.43/15,662.10 = 2,543.85/x
  3. Step 3: Cross multiply
    10,441.43x = 15,662.10 × 2,543.85
  4. Step 4: Simplify right side
    10,441.43x = 39,842,033.09
  5. Step 5: Solve for x
    x = 39,842,033.09/10,441.43
  6. Step 6: Final answer
    x = 3,815.77

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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.