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Finding the Fourth Proportional to 12,780.62, 17,637.43 and 7,115.61

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Solution

The fourth proportional to 12,780.62, 17,637.43 and 7,115.61 is: 9,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.62 : 17,637.43 = 7,115.61 : x
  2. Step 2: Convert to fraction form
    12,780.62/17,637.43 = 7,115.61/x
  3. Step 3: Cross multiply
    12,780.62x = 17,637.43 × 7,115.61
  4. Step 4: Simplify right side
    12,780.62x = 125,501,073.28
  5. Step 5: Solve for x
    x = 125,501,073.28/12,780.62
  6. Step 6: Final answer
    x = 9,819.64

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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.