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Finding the Fourth Proportional to 12,262.65, 16,922.28 and 7,546.83

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Solution

The fourth proportional to 12,262.65, 16,922.28 and 7,546.83 is: 10,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.65 : 16,922.28 = 7,546.83 : x
  2. Step 2: Convert to fraction form
    12,262.65/16,922.28 = 7,546.83/x
  3. Step 3: Cross multiply
    12,262.65x = 16,922.28 × 7,546.83
  4. Step 4: Simplify right side
    12,262.65x = 127,709,570.37
  5. Step 5: Solve for x
    x = 127,709,570.37/12,262.65
  6. Step 6: Final answer
    x = 10,414.52

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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.