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Finding the Fourth Proportional to 8,216.62, 12,328.04 and 4,932.00

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Solution

The fourth proportional to 8,216.62, 12,328.04 and 4,932.00 is: 7,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.62 : 12,328.04 = 4,932.00 : x
  2. Step 2: Convert to fraction form
    8,216.62/12,328.04 = 4,932.00/x
  3. Step 3: Cross multiply
    8,216.62x = 12,328.04 × 4,932.00
  4. Step 4: Simplify right side
    8,216.62x = 60,801,899.44
  5. Step 5: Solve for x
    x = 60,801,899.44/8,216.62
  6. Step 6: Final answer
    x = 7,399.87

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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.