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Finding the Fourth Proportional to 7,957.74, 11,920.36 and 3,785.13

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Solution

The fourth proportional to 7,957.74, 11,920.36 and 3,785.13 is: 5,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.74 : 11,920.36 = 3,785.13 : x
  2. Step 2: Convert to fraction form
    7,957.74/11,920.36 = 3,785.13/x
  3. Step 3: Cross multiply
    7,957.74x = 11,920.36 × 3,785.13
  4. Step 4: Simplify right side
    7,957.74x = 45,120,033.72
  5. Step 5: Solve for x
    x = 45,120,033.72/7,957.74
  6. Step 6: Final answer
    x = 5,669.96

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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.