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Finding the Fourth Proportional to 8,049.84, 11,107.47 and 5,221.10

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Solution

The fourth proportional to 8,049.84, 11,107.47 and 5,221.10 is: 7,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.84 : 11,107.47 = 5,221.10 : x
  2. Step 2: Convert to fraction form
    8,049.84/11,107.47 = 5,221.10/x
  3. Step 3: Cross multiply
    8,049.84x = 11,107.47 × 5,221.10
  4. Step 4: Simplify right side
    8,049.84x = 57,993,211.62
  5. Step 5: Solve for x
    x = 57,993,211.62/8,049.84
  6. Step 6: Final answer
    x = 7,204.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.