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Finding the Fourth Proportional to 8,363.24, 11,540.82 and 4,637

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Solution

The fourth proportional to 8,363.24, 11,540.82 and 4,637 is: 6,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.24 : 11,540.82 = 4,637 : x
  2. Step 2: Convert to fraction form
    8,363.24/11,540.82 = 4,637/x
  3. Step 3: Cross multiply
    8,363.24x = 11,540.82 × 4,637
  4. Step 4: Simplify right side
    8,363.24x = 53,514,782.34
  5. Step 5: Solve for x
    x = 53,514,782.34/8,363.24
  6. Step 6: Final answer
    x = 6,398.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.