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Finding the Fourth Proportional to 8,396.56, 11,580.96 and 8,024.32

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Solution

The fourth proportional to 8,396.56, 11,580.96 and 8,024.32 is: 11,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.56 : 11,580.96 = 8,024.32 : x
  2. Step 2: Convert to fraction form
    8,396.56/11,580.96 = 8,024.32/x
  3. Step 3: Cross multiply
    8,396.56x = 11,580.96 × 8,024.32
  4. Step 4: Simplify right side
    8,396.56x = 92,929,328.95
  5. Step 5: Solve for x
    x = 92,929,328.95/8,396.56
  6. Step 6: Final answer
    x = 11,067.55

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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.