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Finding the Fourth Proportional to 8,528.75, 12,797.57 and 6,448.14

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Solution

The fourth proportional to 8,528.75, 12,797.57 and 6,448.14 is: 9,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.75 : 12,797.57 = 6,448.14 : x
  2. Step 2: Convert to fraction form
    8,528.75/12,797.57 = 6,448.14/x
  3. Step 3: Cross multiply
    8,528.75x = 12,797.57 × 6,448.14
  4. Step 4: Simplify right side
    8,528.75x = 82,520,523.02
  5. Step 5: Solve for x
    x = 82,520,523.02/8,528.75
  6. Step 6: Final answer
    x = 9,675.57

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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.