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Finding the Fourth Proportional to 10,122.57, 15,183.86 and 5,444.78

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Solution

The fourth proportional to 10,122.57, 15,183.86 and 5,444.78 is: 8,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.57 : 15,183.86 = 5,444.78 : x
  2. Step 2: Convert to fraction form
    10,122.57/15,183.86 = 5,444.78/x
  3. Step 3: Cross multiply
    10,122.57x = 15,183.86 × 5,444.78
  4. Step 4: Simplify right side
    10,122.57x = 82,672,674.11
  5. Step 5: Solve for x
    x = 82,672,674.11/10,122.57
  6. Step 6: Final answer
    x = 8,167.16

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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.