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Finding the Fourth Proportional to 11,324.13, 15,624.78 and 6,847.79

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Solution

The fourth proportional to 11,324.13, 15,624.78 and 6,847.79 is: 9,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.13 : 15,624.78 = 6,847.79 : x
  2. Step 2: Convert to fraction form
    11,324.13/15,624.78 = 6,847.79/x
  3. Step 3: Cross multiply
    11,324.13x = 15,624.78 × 6,847.79
  4. Step 4: Simplify right side
    11,324.13x = 106,995,108.43
  5. Step 5: Solve for x
    x = 106,995,108.43/11,324.13
  6. Step 6: Final answer
    x = 9,448.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.