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Finding the Fourth Proportional to 10,278.93, 15,419.10 and 3,614.64

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Solution

The fourth proportional to 10,278.93, 15,419.10 and 3,614.64 is: 5,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.93 : 15,419.10 = 3,614.64 : x
  2. Step 2: Convert to fraction form
    10,278.93/15,419.10 = 3,614.64/x
  3. Step 3: Cross multiply
    10,278.93x = 15,419.10 × 3,614.64
  4. Step 4: Simplify right side
    10,278.93x = 55,734,495.62
  5. Step 5: Solve for x
    x = 55,734,495.62/10,278.93
  6. Step 6: Final answer
    x = 5,422.21

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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.