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Finding the Fourth Proportional to 8,307.43, 12,464.47 and 3,377.46

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Solution

The fourth proportional to 8,307.43, 12,464.47 and 3,377.46 is: 5,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.43 : 12,464.47 = 3,377.46 : x
  2. Step 2: Convert to fraction form
    8,307.43/12,464.47 = 3,377.46/x
  3. Step 3: Cross multiply
    8,307.43x = 12,464.47 × 3,377.46
  4. Step 4: Simplify right side
    8,307.43x = 42,098,248.85
  5. Step 5: Solve for x
    x = 42,098,248.85/8,307.43
  6. Step 6: Final answer
    x = 5,067.54

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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.