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Finding the Fourth Proportional to 12,868.20, 17,752.88 and 7,828.38

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Solution

The fourth proportional to 12,868.20, 17,752.88 and 7,828.38 is: 10,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.20 : 17,752.88 = 7,828.38 : x
  2. Step 2: Convert to fraction form
    12,868.20/17,752.88 = 7,828.38/x
  3. Step 3: Cross multiply
    12,868.20x = 17,752.88 × 7,828.38
  4. Step 4: Simplify right side
    12,868.20x = 138,976,290.73
  5. Step 5: Solve for x
    x = 138,976,290.73/12,868.20
  6. Step 6: Final answer
    x = 10,799.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.