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Finding the Fourth Proportional to 7,290, 10,936.82 and 2,095.88

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Solution

The fourth proportional to 7,290, 10,936.82 and 2,095.88 is: 3,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290 : 10,936.82 = 2,095.88 : x
  2. Step 2: Convert to fraction form
    7,290/10,936.82 = 2,095.88/x
  3. Step 3: Cross multiply
    7,290x = 10,936.82 × 2,095.88
  4. Step 4: Simplify right side
    7,290x = 22,922,212.86
  5. Step 5: Solve for x
    x = 22,922,212.86/7,290
  6. Step 6: Final answer
    x = 3,144.34

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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.