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Finding the Fourth Proportional to 7,882.18, 11,815.71 and 3,499.18

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Solution

The fourth proportional to 7,882.18, 11,815.71 and 3,499.18 is: 5,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.18 : 11,815.71 = 3,499.18 : x
  2. Step 2: Convert to fraction form
    7,882.18/11,815.71 = 3,499.18/x
  3. Step 3: Cross multiply
    7,882.18x = 11,815.71 × 3,499.18
  4. Step 4: Simplify right side
    7,882.18x = 41,345,296.12
  5. Step 5: Solve for x
    x = 41,345,296.12/7,882.18
  6. Step 6: Final answer
    x = 5,245.41

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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.