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Finding the Fourth Proportional to 10,643.28, 15,959.38 and 3,974.30

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Solution

The fourth proportional to 10,643.28, 15,959.38 and 3,974.30 is: 5,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.28 : 15,959.38 = 3,974.30 : x
  2. Step 2: Convert to fraction form
    10,643.28/15,959.38 = 3,974.30/x
  3. Step 3: Cross multiply
    10,643.28x = 15,959.38 × 3,974.30
  4. Step 4: Simplify right side
    10,643.28x = 63,427,319.03
  5. Step 5: Solve for x
    x = 63,427,319.03/10,643.28
  6. Step 6: Final answer
    x = 5,959.37

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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.