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Finding the Fourth Proportional to 8,077.64, 11,138.52 and 6,396.32

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Solution

The fourth proportional to 8,077.64, 11,138.52 and 6,396.32 is: 8,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.64 : 11,138.52 = 6,396.32 : x
  2. Step 2: Convert to fraction form
    8,077.64/11,138.52 = 6,396.32/x
  3. Step 3: Cross multiply
    8,077.64x = 11,138.52 × 6,396.32
  4. Step 4: Simplify right side
    8,077.64x = 71,245,538.25
  5. Step 5: Solve for x
    x = 71,245,538.25/8,077.64
  6. Step 6: Final answer
    x = 8,820.09

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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.