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Finding the Fourth Proportional to 8,202.78, 11,320.74 and 4,665.42

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Solution

The fourth proportional to 8,202.78, 11,320.74 and 4,665.42 is: 6,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.78 : 11,320.74 = 4,665.42 : x
  2. Step 2: Convert to fraction form
    8,202.78/11,320.74 = 4,665.42/x
  3. Step 3: Cross multiply
    8,202.78x = 11,320.74 × 4,665.42
  4. Step 4: Simplify right side
    8,202.78x = 52,816,006.81
  5. Step 5: Solve for x
    x = 52,816,006.81/8,202.78
  6. Step 6: Final answer
    x = 6,438.79

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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.