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Finding the Fourth Proportional to 12,584.49, 17,359.39 and 7,860.57

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Solution

The fourth proportional to 12,584.49, 17,359.39 and 7,860.57 is: 10,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.49 : 17,359.39 = 7,860.57 : x
  2. Step 2: Convert to fraction form
    12,584.49/17,359.39 = 7,860.57/x
  3. Step 3: Cross multiply
    12,584.49x = 17,359.39 × 7,860.57
  4. Step 4: Simplify right side
    12,584.49x = 136,454,671.70
  5. Step 5: Solve for x
    x = 136,454,671.70/12,584.49
  6. Step 6: Final answer
    x = 10,843.08

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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.