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Finding the Fourth Proportional to 10,744.11, 16,116.27 and 3,348

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Solution

The fourth proportional to 10,744.11, 16,116.27 and 3,348 is: 5,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.11 : 16,116.27 = 3,348 : x
  2. Step 2: Convert to fraction form
    10,744.11/16,116.27 = 3,348/x
  3. Step 3: Cross multiply
    10,744.11x = 16,116.27 × 3,348
  4. Step 4: Simplify right side
    10,744.11x = 53,957,259.41
  5. Step 5: Solve for x
    x = 53,957,259.41/10,744.11
  6. Step 6: Final answer
    x = 5,022.03

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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.