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Finding the Fourth Proportional to 10,638.80, 15,959.09 and 3,243.31

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Solution

The fourth proportional to 10,638.80, 15,959.09 and 3,243.31 is: 4,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.80 : 15,959.09 = 3,243.31 : x
  2. Step 2: Convert to fraction form
    10,638.80/15,959.09 = 3,243.31/x
  3. Step 3: Cross multiply
    10,638.80x = 15,959.09 × 3,243.31
  4. Step 4: Simplify right side
    10,638.80x = 51,760,334.17
  5. Step 5: Solve for x
    x = 51,760,334.17/10,638.80
  6. Step 6: Final answer
    x = 4,865.24

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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.