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Finding the Fourth Proportional to 11,396.69, 15,728.30 and 6,361.13

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Solution

The fourth proportional to 11,396.69, 15,728.30 and 6,361.13 is: 8,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.69 : 15,728.30 = 6,361.13 : x
  2. Step 2: Convert to fraction form
    11,396.69/15,728.30 = 6,361.13/x
  3. Step 3: Cross multiply
    11,396.69x = 15,728.30 × 6,361.13
  4. Step 4: Simplify right side
    11,396.69x = 100,049,650.53
  5. Step 5: Solve for x
    x = 100,049,650.53/11,396.69
  6. Step 6: Final answer
    x = 8,778.84

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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.