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Finding the Fourth Proportional to 10,422.68, 15,633.54 and 3,026.97

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Solution

The fourth proportional to 10,422.68, 15,633.54 and 3,026.97 is: 4,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.68 : 15,633.54 = 3,026.97 : x
  2. Step 2: Convert to fraction form
    10,422.68/15,633.54 = 3,026.97/x
  3. Step 3: Cross multiply
    10,422.68x = 15,633.54 × 3,026.97
  4. Step 4: Simplify right side
    10,422.68x = 47,322,256.57
  5. Step 5: Solve for x
    x = 47,322,256.57/10,422.68
  6. Step 6: Final answer
    x = 4,540.32

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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.