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Finding the Fourth Proportional to 10,164.62, 15,243.13 and 3,499.25

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Solution

The fourth proportional to 10,164.62, 15,243.13 and 3,499.25 is: 5,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.62 : 15,243.13 = 3,499.25 : x
  2. Step 2: Convert to fraction form
    10,164.62/15,243.13 = 3,499.25/x
  3. Step 3: Cross multiply
    10,164.62x = 15,243.13 × 3,499.25
  4. Step 4: Simplify right side
    10,164.62x = 53,339,437.69
  5. Step 5: Solve for x
    x = 53,339,437.69/10,164.62
  6. Step 6: Final answer
    x = 5,247.56

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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.