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Finding the Fourth Proportional to 27,397.64, 41,096.86 and 7,674.95

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Solution

The fourth proportional to 27,397.64, 41,096.86 and 7,674.95 is: 11,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,397.64 : 41,096.86 = 7,674.95 : x
  2. Step 2: Convert to fraction form
    27,397.64/41,096.86 = 7,674.95/x
  3. Step 3: Cross multiply
    27,397.64x = 41,096.86 × 7,674.95
  4. Step 4: Simplify right side
    27,397.64x = 315,416,181.10
  5. Step 5: Solve for x
    x = 315,416,181.10/27,397.64
  6. Step 6: Final answer
    x = 11,512.53

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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.