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Finding the Fourth Proportional to 7,251.78, 10,873.25 and 3,089.46

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Solution

The fourth proportional to 7,251.78, 10,873.25 and 3,089.46 is: 4,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.78 : 10,873.25 = 3,089.46 : x
  2. Step 2: Convert to fraction form
    7,251.78/10,873.25 = 3,089.46/x
  3. Step 3: Cross multiply
    7,251.78x = 10,873.25 × 3,089.46
  4. Step 4: Simplify right side
    7,251.78x = 33,592,470.95
  5. Step 5: Solve for x
    x = 33,592,470.95/7,251.78
  6. Step 6: Final answer
    x = 4,632.31

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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.