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Finding the Fourth Proportional to 8,031.74, 11,083.83 and 4,494.95

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Solution

The fourth proportional to 8,031.74, 11,083.83 and 4,494.95 is: 6,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.74 : 11,083.83 = 4,494.95 : x
  2. Step 2: Convert to fraction form
    8,031.74/11,083.83 = 4,494.95/x
  3. Step 3: Cross multiply
    8,031.74x = 11,083.83 × 4,494.95
  4. Step 4: Simplify right side
    8,031.74x = 49,821,261.66
  5. Step 5: Solve for x
    x = 49,821,261.66/8,031.74
  6. Step 6: Final answer
    x = 6,203.05

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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.