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Finding the Fourth Proportional to 10,189.46, 15,278.90 and 3,614.69

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Solution

The fourth proportional to 10,189.46, 15,278.90 and 3,614.69 is: 5,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.46 : 15,278.90 = 3,614.69 : x
  2. Step 2: Convert to fraction form
    10,189.46/15,278.90 = 3,614.69/x
  3. Step 3: Cross multiply
    10,189.46x = 15,278.90 × 3,614.69
  4. Step 4: Simplify right side
    10,189.46x = 55,228,507.16
  5. Step 5: Solve for x
    x = 55,228,507.16/10,189.46
  6. Step 6: Final answer
    x = 5,420.16

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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.