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Finding the Fourth Proportional to 8,509.43, 12,742.27 and 5,212.53

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Solution

The fourth proportional to 8,509.43, 12,742.27 and 5,212.53 is: 7,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.43 : 12,742.27 = 5,212.53 : x
  2. Step 2: Convert to fraction form
    8,509.43/12,742.27 = 5,212.53/x
  3. Step 3: Cross multiply
    8,509.43x = 12,742.27 × 5,212.53
  4. Step 4: Simplify right side
    8,509.43x = 66,419,464.64
  5. Step 5: Solve for x
    x = 66,419,464.64/8,509.43
  6. Step 6: Final answer
    x = 7,805.40

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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.