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Finding the Fourth Proportional to 11,624.82, 16,034.13 and 7,644.66

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Solution

The fourth proportional to 11,624.82, 16,034.13 and 7,644.66 is: 10,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.82 : 16,034.13 = 7,644.66 : x
  2. Step 2: Convert to fraction form
    11,624.82/16,034.13 = 7,644.66/x
  3. Step 3: Cross multiply
    11,624.82x = 16,034.13 × 7,644.66
  4. Step 4: Simplify right side
    11,624.82x = 122,575,472.25
  5. Step 5: Solve for x
    x = 122,575,472.25/11,624.82
  6. Step 6: Final answer
    x = 10,544.29

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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.