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Finding the Fourth Proportional to 8,082.50, 12,123.74 and 2,239.10

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Solution

The fourth proportional to 8,082.50, 12,123.74 and 2,239.10 is: 3,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.50 : 12,123.74 = 2,239.10 : x
  2. Step 2: Convert to fraction form
    8,082.50/12,123.74 = 2,239.10/x
  3. Step 3: Cross multiply
    8,082.50x = 12,123.74 × 2,239.10
  4. Step 4: Simplify right side
    8,082.50x = 27,146,266.23
  5. Step 5: Solve for x
    x = 27,146,266.23/8,082.50
  6. Step 6: Final answer
    x = 3,358.65

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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.