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Finding the Fourth Proportional to 10,438.26, 15,659.01 and 3,512.22

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Solution

The fourth proportional to 10,438.26, 15,659.01 and 3,512.22 is: 5,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.26 : 15,659.01 = 3,512.22 : x
  2. Step 2: Convert to fraction form
    10,438.26/15,659.01 = 3,512.22/x
  3. Step 3: Cross multiply
    10,438.26x = 15,659.01 × 3,512.22
  4. Step 4: Simplify right side
    10,438.26x = 54,997,888.10
  5. Step 5: Solve for x
    x = 54,997,888.10/10,438.26
  6. Step 6: Final answer
    x = 5,268.88

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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.