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Finding the Fourth Proportional to 10,115.68, 15,174.24 and 3,190

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Solution

The fourth proportional to 10,115.68, 15,174.24 and 3,190 is: 4,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.68 : 15,174.24 = 3,190 : x
  2. Step 2: Convert to fraction form
    10,115.68/15,174.24 = 3,190/x
  3. Step 3: Cross multiply
    10,115.68x = 15,174.24 × 3,190
  4. Step 4: Simplify right side
    10,115.68x = 48,405,825.60
  5. Step 5: Solve for x
    x = 48,405,825.60/10,115.68
  6. Step 6: Final answer
    x = 4,785.23

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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.