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Finding the Fourth Proportional to 11,762.12, 17,641.10 and 4,644.44

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Solution

The fourth proportional to 11,762.12, 17,641.10 and 4,644.44 is: 6,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.12 : 17,641.10 = 4,644.44 : x
  2. Step 2: Convert to fraction form
    11,762.12/17,641.10 = 4,644.44/x
  3. Step 3: Cross multiply
    11,762.12x = 17,641.10 × 4,644.44
  4. Step 4: Simplify right side
    11,762.12x = 81,932,919.06
  5. Step 5: Solve for x
    x = 81,932,919.06/11,762.12
  6. Step 6: Final answer
    x = 6,965.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.