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Finding the Fourth Proportional to 8,238, 12,357.06 and 2,082

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Solution

The fourth proportional to 8,238, 12,357.06 and 2,082 is: 3,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238 : 12,357.06 = 2,082 : x
  2. Step 2: Convert to fraction form
    8,238/12,357.06 = 2,082/x
  3. Step 3: Cross multiply
    8,238x = 12,357.06 × 2,082
  4. Step 4: Simplify right side
    8,238x = 25,727,398.92
  5. Step 5: Solve for x
    x = 25,727,398.92/8,238
  6. Step 6: Final answer
    x = 3,123.02

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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.