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Finding the Fourth Proportional to 8,267, 11,408.16 and 4,730

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Solution

The fourth proportional to 8,267, 11,408.16 and 4,730 is: 6,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267 : 11,408.16 = 4,730 : x
  2. Step 2: Convert to fraction form
    8,267/11,408.16 = 4,730/x
  3. Step 3: Cross multiply
    8,267x = 11,408.16 × 4,730
  4. Step 4: Simplify right side
    8,267x = 53,960,596.80
  5. Step 5: Solve for x
    x = 53,960,596.80/8,267
  6. Step 6: Final answer
    x = 6,527.23

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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.