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Finding the Fourth Proportional to 7,924.96, 11,886.48 and 2,082

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Solution

The fourth proportional to 7,924.96, 11,886.48 and 2,082 is: 3,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.96 : 11,886.48 = 2,082 : x
  2. Step 2: Convert to fraction form
    7,924.96/11,886.48 = 2,082/x
  3. Step 3: Cross multiply
    7,924.96x = 11,886.48 × 2,082
  4. Step 4: Simplify right side
    7,924.96x = 24,747,651.36
  5. Step 5: Solve for x
    x = 24,747,651.36/7,924.96
  6. Step 6: Final answer
    x = 3,122.75

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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.