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Finding the Fourth Proportional to 8,535.39, 12,803.12 and 4,149.09

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Solution

The fourth proportional to 8,535.39, 12,803.12 and 4,149.09 is: 6,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.39 : 12,803.12 = 4,149.09 : x
  2. Step 2: Convert to fraction form
    8,535.39/12,803.12 = 4,149.09/x
  3. Step 3: Cross multiply
    8,535.39x = 12,803.12 × 4,149.09
  4. Step 4: Simplify right side
    8,535.39x = 53,121,297.16
  5. Step 5: Solve for x
    x = 53,121,297.16/8,535.39
  6. Step 6: Final answer
    x = 6,223.65

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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.