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Finding the Fourth Proportional to 8,202.75, 11,320.07 and 4,476.75

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Solution

The fourth proportional to 8,202.75, 11,320.07 and 4,476.75 is: 6,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.75 : 11,320.07 = 4,476.75 : x
  2. Step 2: Convert to fraction form
    8,202.75/11,320.07 = 4,476.75/x
  3. Step 3: Cross multiply
    8,202.75x = 11,320.07 × 4,476.75
  4. Step 4: Simplify right side
    8,202.75x = 50,677,100.99
  5. Step 5: Solve for x
    x = 50,677,100.99/8,202.75
  6. Step 6: Final answer
    x = 6,178.06

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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.