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Finding the Fourth Proportional to 12,780.57, 17,637.38 and 7,115.62

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Solution

The fourth proportional to 12,780.57, 17,637.38 and 7,115.62 is: 9,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.57 : 17,637.38 = 7,115.62 : x
  2. Step 2: Convert to fraction form
    12,780.57/17,637.38 = 7,115.62/x
  3. Step 3: Cross multiply
    12,780.57x = 17,637.38 × 7,115.62
  4. Step 4: Simplify right side
    12,780.57x = 125,500,893.88
  5. Step 5: Solve for x
    x = 125,500,893.88/12,780.57
  6. Step 6: Final answer
    x = 9,819.66

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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.