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Finding the Fourth Proportional to 8,527.40, 11,773.22 and 5,843.16

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Solution

The fourth proportional to 8,527.40, 11,773.22 and 5,843.16 is: 8,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.40 : 11,773.22 = 5,843.16 : x
  2. Step 2: Convert to fraction form
    8,527.40/11,773.22 = 5,843.16/x
  3. Step 3: Cross multiply
    8,527.40x = 11,773.22 × 5,843.16
  4. Step 4: Simplify right side
    8,527.40x = 68,792,808.18
  5. Step 5: Solve for x
    x = 68,792,808.18/8,527.40
  6. Step 6: Final answer
    x = 8,067.27

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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.