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Finding the Fourth Proportional to 8,272.53, 11,403.99 and 6,778.08

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Solution

The fourth proportional to 8,272.53, 11,403.99 and 6,778.08 is: 9,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.53 : 11,403.99 = 6,778.08 : x
  2. Step 2: Convert to fraction form
    8,272.53/11,403.99 = 6,778.08/x
  3. Step 3: Cross multiply
    8,272.53x = 11,403.99 × 6,778.08
  4. Step 4: Simplify right side
    8,272.53x = 77,297,156.54
  5. Step 5: Solve for x
    x = 77,297,156.54/8,272.53
  6. Step 6: Final answer
    x = 9,343.84

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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.