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Finding the Fourth Proportional to 8,226.84, 11,358.24 and 5,841.81

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Solution

The fourth proportional to 8,226.84, 11,358.24 and 5,841.81 is: 8,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.84 : 11,358.24 = 5,841.81 : x
  2. Step 2: Convert to fraction form
    8,226.84/11,358.24 = 5,841.81/x
  3. Step 3: Cross multiply
    8,226.84x = 11,358.24 × 5,841.81
  4. Step 4: Simplify right side
    8,226.84x = 66,352,680.01
  5. Step 5: Solve for x
    x = 66,352,680.01/8,226.84
  6. Step 6: Final answer
    x = 8,065.39

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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.