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Finding the Fourth Proportional to 7,813.84, 11,720.16 and 2,882.56

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Solution

The fourth proportional to 7,813.84, 11,720.16 and 2,882.56 is: 4,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.84 : 11,720.16 = 2,882.56 : x
  2. Step 2: Convert to fraction form
    7,813.84/11,720.16 = 2,882.56/x
  3. Step 3: Cross multiply
    7,813.84x = 11,720.16 × 2,882.56
  4. Step 4: Simplify right side
    7,813.84x = 33,784,064.41
  5. Step 5: Solve for x
    x = 33,784,064.41/7,813.84
  6. Step 6: Final answer
    x = 4,323.62

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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.