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Finding the Fourth Proportional to 7,243.92, 10,867.68 and 2,049.84

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Solution

The fourth proportional to 7,243.92, 10,867.68 and 2,049.84 is: 3,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.92 : 10,867.68 = 2,049.84 : x
  2. Step 2: Convert to fraction form
    7,243.92/10,867.68 = 2,049.84/x
  3. Step 3: Cross multiply
    7,243.92x = 10,867.68 × 2,049.84
  4. Step 4: Simplify right side
    7,243.92x = 22,277,005.17
  5. Step 5: Solve for x
    x = 22,277,005.17/7,243.92
  6. Step 6: Final answer
    x = 3,075.27

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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.