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Finding the Fourth Proportional to 7,287, 10,932.35 and 2,092.88

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Solution

The fourth proportional to 7,287, 10,932.35 and 2,092.88 is: 3,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287 : 10,932.35 = 2,092.88 : x
  2. Step 2: Convert to fraction form
    7,287/10,932.35 = 2,092.88/x
  3. Step 3: Cross multiply
    7,287x = 10,932.35 × 2,092.88
  4. Step 4: Simplify right side
    7,287x = 22,880,096.67
  5. Step 5: Solve for x
    x = 22,880,096.67/7,287
  6. Step 6: Final answer
    x = 3,139.85

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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.