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Finding the Fourth Proportional to 8,561.33, 11,815.99 and 5,205.20

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Solution

The fourth proportional to 8,561.33, 11,815.99 and 5,205.20 is: 7,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.33 : 11,815.99 = 5,205.20 : x
  2. Step 2: Convert to fraction form
    8,561.33/11,815.99 = 5,205.20/x
  3. Step 3: Cross multiply
    8,561.33x = 11,815.99 × 5,205.20
  4. Step 4: Simplify right side
    8,561.33x = 61,504,591.15
  5. Step 5: Solve for x
    x = 61,504,591.15/8,561.33
  6. Step 6: Final answer
    x = 7,184.00

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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.