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Finding the Fourth Proportional to 10,744.87, 16,117.23 and 5,845.65

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Solution

The fourth proportional to 10,744.87, 16,117.23 and 5,845.65 is: 8,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.87 : 16,117.23 = 5,845.65 : x
  2. Step 2: Convert to fraction form
    10,744.87/16,117.23 = 5,845.65/x
  3. Step 3: Cross multiply
    10,744.87x = 16,117.23 × 5,845.65
  4. Step 4: Simplify right side
    10,744.87x = 94,215,663.08
  5. Step 5: Solve for x
    x = 94,215,663.08/10,744.87
  6. Step 6: Final answer
    x = 8,768.43

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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.