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Finding the Fourth Proportional to 8,243.85, 12,365.84 and 3,049.65

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Solution

The fourth proportional to 8,243.85, 12,365.84 and 3,049.65 is: 4,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.85 : 12,365.84 = 3,049.65 : x
  2. Step 2: Convert to fraction form
    8,243.85/12,365.84 = 3,049.65/x
  3. Step 3: Cross multiply
    8,243.85x = 12,365.84 × 3,049.65
  4. Step 4: Simplify right side
    8,243.85x = 37,711,468.71
  5. Step 5: Solve for x
    x = 37,711,468.71/8,243.85
  6. Step 6: Final answer
    x = 4,574.50

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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.