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Finding the Fourth Proportional to 12,872.82, 17,765.34 and 7,208.04

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Solution

The fourth proportional to 12,872.82, 17,765.34 and 7,208.04 is: 9,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.82 : 17,765.34 = 7,208.04 : x
  2. Step 2: Convert to fraction form
    12,872.82/17,765.34 = 7,208.04/x
  3. Step 3: Cross multiply
    12,872.82x = 17,765.34 × 7,208.04
  4. Step 4: Simplify right side
    12,872.82x = 128,053,281.33
  5. Step 5: Solve for x
    x = 128,053,281.33/12,872.82
  6. Step 6: Final answer
    x = 9,947.57

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