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Finding the Fourth Proportional to 10,416.75, 15,626.67 and 3,842.38

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Solution

The fourth proportional to 10,416.75, 15,626.67 and 3,842.38 is: 5,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.75 : 15,626.67 = 3,842.38 : x
  2. Step 2: Convert to fraction form
    10,416.75/15,626.67 = 3,842.38/x
  3. Step 3: Cross multiply
    10,416.75x = 15,626.67 × 3,842.38
  4. Step 4: Simplify right side
    10,416.75x = 60,043,604.27
  5. Step 5: Solve for x
    x = 60,043,604.27/10,416.75
  6. Step 6: Final answer
    x = 5,764.14

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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.