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Finding the Fourth Proportional to 8,347.24, 11,519.31 and 4,621.24

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Solution

The fourth proportional to 8,347.24, 11,519.31 and 4,621.24 is: 6,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.24 : 11,519.31 = 4,621.24 : x
  2. Step 2: Convert to fraction form
    8,347.24/11,519.31 = 4,621.24/x
  3. Step 3: Cross multiply
    8,347.24x = 11,519.31 × 4,621.24
  4. Step 4: Simplify right side
    8,347.24x = 53,233,496.14
  5. Step 5: Solve for x
    x = 53,233,496.14/8,347.24
  6. Step 6: Final answer
    x = 6,377.38

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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.