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Finding the Fourth Proportional to 12,034.82, 16,608.38 and 6,730.13

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Solution

The fourth proportional to 12,034.82, 16,608.38 and 6,730.13 is: 9,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.82 : 16,608.38 = 6,730.13 : x
  2. Step 2: Convert to fraction form
    12,034.82/16,608.38 = 6,730.13/x
  3. Step 3: Cross multiply
    12,034.82x = 16,608.38 × 6,730.13
  4. Step 4: Simplify right side
    12,034.82x = 111,776,473.45
  5. Step 5: Solve for x
    x = 111,776,473.45/12,034.82
  6. Step 6: Final answer
    x = 9,287.76

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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.