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Finding the Fourth Proportional to 11,246.54, 16,870.04 and 3,859.49

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Solution

The fourth proportional to 11,246.54, 16,870.04 and 3,859.49 is: 5,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.54 : 16,870.04 = 3,859.49 : x
  2. Step 2: Convert to fraction form
    11,246.54/16,870.04 = 3,859.49/x
  3. Step 3: Cross multiply
    11,246.54x = 16,870.04 × 3,859.49
  4. Step 4: Simplify right side
    11,246.54x = 65,109,750.68
  5. Step 5: Solve for x
    x = 65,109,750.68/11,246.54
  6. Step 6: Final answer
    x = 5,789.31

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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.