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Finding the Fourth Proportional to 7,841.11, 11,768.02 and 4,145.62

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Solution

The fourth proportional to 7,841.11, 11,768.02 and 4,145.62 is: 6,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.11 : 11,768.02 = 4,145.62 : x
  2. Step 2: Convert to fraction form
    7,841.11/11,768.02 = 4,145.62/x
  3. Step 3: Cross multiply
    7,841.11x = 11,768.02 × 4,145.62
  4. Step 4: Simplify right side
    7,841.11x = 48,785,739.07
  5. Step 5: Solve for x
    x = 48,785,739.07/7,841.11
  6. Step 6: Final answer
    x = 6,221.79

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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.