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Finding the Fourth Proportional to 8,561.36, 11,816.88 and 5,584.64

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Solution

The fourth proportional to 8,561.36, 11,816.88 and 5,584.64 is: 7,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.36 : 11,816.88 = 5,584.64 : x
  2. Step 2: Convert to fraction form
    8,561.36/11,816.88 = 5,584.64/x
  3. Step 3: Cross multiply
    8,561.36x = 11,816.88 × 5,584.64
  4. Step 4: Simplify right side
    8,561.36x = 65,993,020.72
  5. Step 5: Solve for x
    x = 65,993,020.72/8,561.36
  6. Step 6: Final answer
    x = 7,708.24

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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.