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Finding the Fourth Proportional to 12,780.82, 17,634.84 and 8,062.36

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Solution

The fourth proportional to 12,780.82, 17,634.84 and 8,062.36 is: 11,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.82 : 17,634.84 = 8,062.36 : x
  2. Step 2: Convert to fraction form
    12,780.82/17,634.84 = 8,062.36/x
  3. Step 3: Cross multiply
    12,780.82x = 17,634.84 × 8,062.36
  4. Step 4: Simplify right side
    12,780.82x = 142,178,428.62
  5. Step 5: Solve for x
    x = 142,178,428.62/12,780.82
  6. Step 6: Final answer
    x = 11,124.36

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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.