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Finding the Fourth Proportional to 10,116.24, 15,183.84 and 6,228.24

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Solution

The fourth proportional to 10,116.24, 15,183.84 and 6,228.24 is: 9,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.24 : 15,183.84 = 6,228.24 : x
  2. Step 2: Convert to fraction form
    10,116.24/15,183.84 = 6,228.24/x
  3. Step 3: Cross multiply
    10,116.24x = 15,183.84 × 6,228.24
  4. Step 4: Simplify right side
    10,116.24x = 94,568,599.64
  5. Step 5: Solve for x
    x = 94,568,599.64/10,116.24
  6. Step 6: Final answer
    x = 9,348.20

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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.