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Finding the Fourth Proportional to 11,257.62, 16,873.71 and 6,865.44

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Solution

The fourth proportional to 11,257.62, 16,873.71 and 6,865.44 is: 10,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.62 : 16,873.71 = 6,865.44 : x
  2. Step 2: Convert to fraction form
    11,257.62/16,873.71 = 6,865.44/x
  3. Step 3: Cross multiply
    11,257.62x = 16,873.71 × 6,865.44
  4. Step 4: Simplify right side
    11,257.62x = 115,845,443.58
  5. Step 5: Solve for x
    x = 115,845,443.58/11,257.62
  6. Step 6: Final answer
    x = 10,290.40

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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.