Home / 7,983.20-11,966.16-4,082.24

Finding the Fourth Proportional to 7,983.20, 11,966.16 and 4,082.24

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Solution

The fourth proportional to 7,983.20, 11,966.16 and 4,082.24 is: 6,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.20 : 11,966.16 = 4,082.24 : x
  2. Step 2: Convert to fraction form
    7,983.20/11,966.16 = 4,082.24/x
  3. Step 3: Cross multiply
    7,983.20x = 11,966.16 × 4,082.24
  4. Step 4: Simplify right side
    7,983.20x = 48,848,737.00
  5. Step 5: Solve for x
    x = 48,848,737.00/7,983.20
  6. Step 6: Final answer
    x = 6,118.94

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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.