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Finding the Fourth Proportional to 7,882.59, 11,824.80 and 2,618.07

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Solution

The fourth proportional to 7,882.59, 11,824.80 and 2,618.07 is: 3,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.59 : 11,824.80 = 2,618.07 : x
  2. Step 2: Convert to fraction form
    7,882.59/11,824.80 = 2,618.07/x
  3. Step 3: Cross multiply
    7,882.59x = 11,824.80 × 2,618.07
  4. Step 4: Simplify right side
    7,882.59x = 30,958,154.14
  5. Step 5: Solve for x
    x = 30,958,154.14/7,882.59
  6. Step 6: Final answer
    x = 3,927.41

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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.