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Finding the Fourth Proportional to 8,331.24, 11,496 and 5,351.11

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Solution

The fourth proportional to 8,331.24, 11,496 and 5,351.11 is: 7,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.24 : 11,496 = 5,351.11 : x
  2. Step 2: Convert to fraction form
    8,331.24/11,496 = 5,351.11/x
  3. Step 3: Cross multiply
    8,331.24x = 11,496 × 5,351.11
  4. Step 4: Simplify right side
    8,331.24x = 61,516,360.56
  5. Step 5: Solve for x
    x = 61,516,360.56/8,331.24
  6. Step 6: Final answer
    x = 7,383.82

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Why These Related Problems?

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