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Finding the Fourth Proportional to 8,347, 11,519.24 and 4,621

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Solution

The fourth proportional to 8,347, 11,519.24 and 4,621 is: 6,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347 : 11,519.24 = 4,621 : x
  2. Step 2: Convert to fraction form
    8,347/11,519.24 = 4,621/x
  3. Step 3: Cross multiply
    8,347x = 11,519.24 × 4,621
  4. Step 4: Simplify right side
    8,347x = 53,230,408.04
  5. Step 5: Solve for x
    x = 53,230,408.04/8,347
  6. Step 6: Final answer
    x = 6,377.19

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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.