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Finding the Fourth Proportional to 8,216.65, 12,327 and 2,373.72

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Solution

The fourth proportional to 8,216.65, 12,327 and 2,373.72 is: 3,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.65 : 12,327 = 2,373.72 : x
  2. Step 2: Convert to fraction form
    8,216.65/12,327 = 2,373.72/x
  3. Step 3: Cross multiply
    8,216.65x = 12,327 × 2,373.72
  4. Step 4: Simplify right side
    8,216.65x = 29,260,846.44
  5. Step 5: Solve for x
    x = 29,260,846.44/8,216.65
  6. Step 6: Final answer
    x = 3,561.17

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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.