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Finding the Fourth Proportional to 8,067.70, 12,085.35 and 5,605.30

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Solution

The fourth proportional to 8,067.70, 12,085.35 and 5,605.30 is: 8,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.70 : 12,085.35 = 5,605.30 : x
  2. Step 2: Convert to fraction form
    8,067.70/12,085.35 = 5,605.30/x
  3. Step 3: Cross multiply
    8,067.70x = 12,085.35 × 5,605.30
  4. Step 4: Simplify right side
    8,067.70x = 67,742,012.36
  5. Step 5: Solve for x
    x = 67,742,012.36/8,067.70
  6. Step 6: Final answer
    x = 8,396.69

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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.