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Finding the Fourth Proportional to 7,187.82, 10,781.91 and 2,257.35

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Solution

The fourth proportional to 7,187.82, 10,781.91 and 2,257.35 is: 3,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.82 : 10,781.91 = 2,257.35 : x
  2. Step 2: Convert to fraction form
    7,187.82/10,781.91 = 2,257.35/x
  3. Step 3: Cross multiply
    7,187.82x = 10,781.91 × 2,257.35
  4. Step 4: Simplify right side
    7,187.82x = 24,338,544.54
  5. Step 5: Solve for x
    x = 24,338,544.54/7,187.82
  6. Step 6: Final answer
    x = 3,386.08

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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.