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Finding the Fourth Proportional to 8,362.62, 12,527.91 and 4,197.75

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Solution

The fourth proportional to 8,362.62, 12,527.91 and 4,197.75 is: 6,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.62 : 12,527.91 = 4,197.75 : x
  2. Step 2: Convert to fraction form
    8,362.62/12,527.91 = 4,197.75/x
  3. Step 3: Cross multiply
    8,362.62x = 12,527.91 × 4,197.75
  4. Step 4: Simplify right side
    8,362.62x = 52,589,034.20
  5. Step 5: Solve for x
    x = 52,589,034.20/8,362.62
  6. Step 6: Final answer
    x = 6,288.58

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Why These Related Problems?

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