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Finding the Fourth Proportional to 8,050.64, 12,067.32 and 3,938

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Solution

The fourth proportional to 8,050.64, 12,067.32 and 3,938 is: 5,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050.64 : 12,067.32 = 3,938 : x
  2. Step 2: Convert to fraction form
    8,050.64/12,067.32 = 3,938/x
  3. Step 3: Cross multiply
    8,050.64x = 12,067.32 × 3,938
  4. Step 4: Simplify right side
    8,050.64x = 47,521,106.16
  5. Step 5: Solve for x
    x = 47,521,106.16/8,050.64
  6. Step 6: Final answer
    x = 5,902.77

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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.