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Finding the Fourth Proportional to 27,287.19, 40,930.79 and 7,565.75

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Solution

The fourth proportional to 27,287.19, 40,930.79 and 7,565.75 is: 11,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,287.19 : 40,930.79 = 7,565.75 : x
  2. Step 2: Convert to fraction form
    27,287.19/40,930.79 = 7,565.75/x
  3. Step 3: Cross multiply
    27,287.19x = 40,930.79 × 7,565.75
  4. Step 4: Simplify right side
    27,287.19x = 309,672,124.44
  5. Step 5: Solve for x
    x = 309,672,124.44/27,287.19
  6. Step 6: Final answer
    x = 11,348.63

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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.