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Finding the Fourth Proportional to 11,575.44, 17,364.06 and 3,785.04

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Solution

The fourth proportional to 11,575.44, 17,364.06 and 3,785.04 is: 5,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.44 : 17,364.06 = 3,785.04 : x
  2. Step 2: Convert to fraction form
    11,575.44/17,364.06 = 3,785.04/x
  3. Step 3: Cross multiply
    11,575.44x = 17,364.06 × 3,785.04
  4. Step 4: Simplify right side
    11,575.44x = 65,723,661.66
  5. Step 5: Solve for x
    x = 65,723,661.66/11,575.44
  6. Step 6: Final answer
    x = 5,677.85

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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.