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Finding the Fourth Proportional to 8,927.92, 13,388.46 and 3,082.96

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Solution

The fourth proportional to 8,927.92, 13,388.46 and 3,082.96 is: 4,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.92 : 13,388.46 = 3,082.96 : x
  2. Step 2: Convert to fraction form
    8,927.92/13,388.46 = 3,082.96/x
  3. Step 3: Cross multiply
    8,927.92x = 13,388.46 × 3,082.96
  4. Step 4: Simplify right side
    8,927.92x = 41,276,086.64
  5. Step 5: Solve for x
    x = 41,276,086.64/8,927.92
  6. Step 6: Final answer
    x = 4,623.26

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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.