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Finding the Fourth Proportional to 10,046.16, 15,069.96 and 3,382.67

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Solution

The fourth proportional to 10,046.16, 15,069.96 and 3,382.67 is: 5,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.16 : 15,069.96 = 3,382.67 : x
  2. Step 2: Convert to fraction form
    10,046.16/15,069.96 = 3,382.67/x
  3. Step 3: Cross multiply
    10,046.16x = 15,069.96 × 3,382.67
  4. Step 4: Simplify right side
    10,046.16x = 50,976,626.24
  5. Step 5: Solve for x
    x = 50,976,626.24/10,046.16
  6. Step 6: Final answer
    x = 5,074.24

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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.