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Finding the Fourth Proportional to 10,243.44, 15,361.92 and 8,610.48

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Solution

The fourth proportional to 10,243.44, 15,361.92 and 8,610.48 is: 12,913.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.44 : 15,361.92 = 8,610.48 : x
  2. Step 2: Convert to fraction form
    10,243.44/15,361.92 = 8,610.48/x
  3. Step 3: Cross multiply
    10,243.44x = 15,361.92 × 8,610.48
  4. Step 4: Simplify right side
    10,243.44x = 132,273,504.92
  5. Step 5: Solve for x
    x = 132,273,504.92/10,243.44
  6. Step 6: Final answer
    x = 12,913.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.