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Finding the Fourth Proportional to 11,397.14, 15,728.08 and 6,361.36

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Solution

The fourth proportional to 11,397.14, 15,728.08 and 6,361.36 is: 8,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.14 : 15,728.08 = 6,361.36 : x
  2. Step 2: Convert to fraction form
    11,397.14/15,728.08 = 6,361.36/x
  3. Step 3: Cross multiply
    11,397.14x = 15,728.08 × 6,361.36
  4. Step 4: Simplify right side
    11,397.14x = 100,051,979.09
  5. Step 5: Solve for x
    x = 100,051,979.09/11,397.14
  6. Step 6: Final answer
    x = 8,778.69

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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.