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Finding the Fourth Proportional to 11,752.78, 16,205.55 and 7,498.15

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Solution

The fourth proportional to 11,752.78, 16,205.55 and 7,498.15 is: 10,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.78 : 16,205.55 = 7,498.15 : x
  2. Step 2: Convert to fraction form
    11,752.78/16,205.55 = 7,498.15/x
  3. Step 3: Cross multiply
    11,752.78x = 16,205.55 × 7,498.15
  4. Step 4: Simplify right side
    11,752.78x = 121,511,644.73
  5. Step 5: Solve for x
    x = 121,511,644.73/11,752.78
  6. Step 6: Final answer
    x = 10,338.97

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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.