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Finding the Fourth Proportional to 8,230.39, 11,358.11 and 4,871.99

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Solution

The fourth proportional to 8,230.39, 11,358.11 and 4,871.99 is: 6,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.39 : 11,358.11 = 4,871.99 : x
  2. Step 2: Convert to fraction form
    8,230.39/11,358.11 = 4,871.99/x
  3. Step 3: Cross multiply
    8,230.39x = 11,358.11 × 4,871.99
  4. Step 4: Simplify right side
    8,230.39x = 55,336,638.91
  5. Step 5: Solve for x
    x = 55,336,638.91/8,230.39
  6. Step 6: Final answer
    x = 6,723.45

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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.