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Finding the Fourth Proportional to 10,438.29, 15,659.06 and 3,512.25

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Solution

The fourth proportional to 10,438.29, 15,659.06 and 3,512.25 is: 5,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.29 : 15,659.06 = 3,512.25 : x
  2. Step 2: Convert to fraction form
    10,438.29/15,659.06 = 3,512.25/x
  3. Step 3: Cross multiply
    10,438.29x = 15,659.06 × 3,512.25
  4. Step 4: Simplify right side
    10,438.29x = 54,998,515.92
  5. Step 5: Solve for x
    x = 54,998,515.92/10,438.29
  6. Step 6: Final answer
    x = 5,268.92

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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.