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Finding the Fourth Proportional to 7,920.99, 11,882.24 and 2,298.81

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Solution

The fourth proportional to 7,920.99, 11,882.24 and 2,298.81 is: 3,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.99 : 11,882.24 = 2,298.81 : x
  2. Step 2: Convert to fraction form
    7,920.99/11,882.24 = 2,298.81/x
  3. Step 3: Cross multiply
    7,920.99x = 11,882.24 × 2,298.81
  4. Step 4: Simplify right side
    7,920.99x = 27,315,000.64
  5. Step 5: Solve for x
    x = 27,315,000.64/7,920.99
  6. Step 6: Final answer
    x = 3,448.43

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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.