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Finding the Fourth Proportional to 8,358.84, 12,542.34 and 3,429.96

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Solution

The fourth proportional to 8,358.84, 12,542.34 and 3,429.96 is: 5,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.84 : 12,542.34 = 3,429.96 : x
  2. Step 2: Convert to fraction form
    8,358.84/12,542.34 = 3,429.96/x
  3. Step 3: Cross multiply
    8,358.84x = 12,542.34 × 3,429.96
  4. Step 4: Simplify right side
    8,358.84x = 43,019,724.51
  5. Step 5: Solve for x
    x = 43,019,724.51/8,358.84
  6. Step 6: Final answer
    x = 5,146.61

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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.