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Finding the Fourth Proportional to 11,785.78, 17,679.30 and 3,020.77

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Solution

The fourth proportional to 11,785.78, 17,679.30 and 3,020.77 is: 4,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.78 : 17,679.30 = 3,020.77 : x
  2. Step 2: Convert to fraction form
    11,785.78/17,679.30 = 3,020.77/x
  3. Step 3: Cross multiply
    11,785.78x = 17,679.30 × 3,020.77
  4. Step 4: Simplify right side
    11,785.78x = 53,405,099.06
  5. Step 5: Solve for x
    x = 53,405,099.06/11,785.78
  6. Step 6: Final answer
    x = 4,531.32

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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.