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Finding the Fourth Proportional to 8,322.44, 12,483.53 and 2,082.42

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Solution

The fourth proportional to 8,322.44, 12,483.53 and 2,082.42 is: 3,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.44 : 12,483.53 = 2,082.42 : x
  2. Step 2: Convert to fraction form
    8,322.44/12,483.53 = 2,082.42/x
  3. Step 3: Cross multiply
    8,322.44x = 12,483.53 × 2,082.42
  4. Step 4: Simplify right side
    8,322.44x = 25,995,961.65
  5. Step 5: Solve for x
    x = 25,995,961.65/8,322.44
  6. Step 6: Final answer
    x = 3,123.60

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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.