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Finding the Fourth Proportional to 12,682.16, 17,501.46 and 7,645.37

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Solution

The fourth proportional to 12,682.16, 17,501.46 and 7,645.37 is: 10,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.16 : 17,501.46 = 7,645.37 : x
  2. Step 2: Convert to fraction form
    12,682.16/17,501.46 = 7,645.37/x
  3. Step 3: Cross multiply
    12,682.16x = 17,501.46 × 7,645.37
  4. Step 4: Simplify right side
    12,682.16x = 133,805,049.73
  5. Step 5: Solve for x
    x = 133,805,049.73/12,682.16
  6. Step 6: Final answer
    x = 10,550.66

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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.