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Finding the Fourth Proportional to 7,882.68, 11,823.99 and 3,202.62

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Solution

The fourth proportional to 7,882.68, 11,823.99 and 3,202.62 is: 4,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.68 : 11,823.99 = 3,202.62 : x
  2. Step 2: Convert to fraction form
    7,882.68/11,823.99 = 3,202.62/x
  3. Step 3: Cross multiply
    7,882.68x = 11,823.99 × 3,202.62
  4. Step 4: Simplify right side
    7,882.68x = 37,867,746.85
  5. Step 5: Solve for x
    x = 37,867,746.85/7,882.68
  6. Step 6: Final answer
    x = 4,803.92

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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.