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Finding the Fourth Proportional to 8,505.84, 12,759.12 and 5,216.88

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Solution

The fourth proportional to 8,505.84, 12,759.12 and 5,216.88 is: 7,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.84 : 12,759.12 = 5,216.88 : x
  2. Step 2: Convert to fraction form
    8,505.84/12,759.12 = 5,216.88/x
  3. Step 3: Cross multiply
    8,505.84x = 12,759.12 × 5,216.88
  4. Step 4: Simplify right side
    8,505.84x = 66,562,797.95
  5. Step 5: Solve for x
    x = 66,562,797.95/8,505.84
  6. Step 6: Final answer
    x = 7,825.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.