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Finding the Fourth Proportional to 27,575.73, 41,370.08 and 7,854.57

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Solution

The fourth proportional to 27,575.73, 41,370.08 and 7,854.57 is: 11,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575.73 : 41,370.08 = 7,854.57 : x
  2. Step 2: Convert to fraction form
    27,575.73/41,370.08 = 7,854.57/x
  3. Step 3: Cross multiply
    27,575.73x = 41,370.08 × 7,854.57
  4. Step 4: Simplify right side
    27,575.73x = 324,944,149.99
  5. Step 5: Solve for x
    x = 324,944,149.99/27,575.73
  6. Step 6: Final answer
    x = 11,783.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.