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Finding the Fourth Proportional to 10,728.11, 16,091.48 and 3,706.49

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Solution

The fourth proportional to 10,728.11, 16,091.48 and 3,706.49 is: 5,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.11 : 16,091.48 = 3,706.49 : x
  2. Step 2: Convert to fraction form
    10,728.11/16,091.48 = 3,706.49/x
  3. Step 3: Cross multiply
    10,728.11x = 16,091.48 × 3,706.49
  4. Step 4: Simplify right side
    10,728.11x = 59,642,959.20
  5. Step 5: Solve for x
    x = 59,642,959.20/10,728.11
  6. Step 6: Final answer
    x = 5,559.50

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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.