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Finding the Fourth Proportional to 7,925.82, 11,887.82 and 2,082.88

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Solution

The fourth proportional to 7,925.82, 11,887.82 and 2,082.88 is: 3,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.82 : 11,887.82 = 2,082.88 : x
  2. Step 2: Convert to fraction form
    7,925.82/11,887.82 = 2,082.88/x
  3. Step 3: Cross multiply
    7,925.82x = 11,887.82 × 2,082.88
  4. Step 4: Simplify right side
    7,925.82x = 24,760,902.52
  5. Step 5: Solve for x
    x = 24,760,902.52/7,925.82
  6. Step 6: Final answer
    x = 3,124.08

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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.