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Finding the Fourth Proportional to 8,031.94, 11,083.38 and 4,494.46

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Solution

The fourth proportional to 8,031.94, 11,083.38 and 4,494.46 is: 6,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.94 : 11,083.38 = 4,494.46 : x
  2. Step 2: Convert to fraction form
    8,031.94/11,083.38 = 4,494.46/x
  3. Step 3: Cross multiply
    8,031.94x = 11,083.38 × 4,494.46
  4. Step 4: Simplify right side
    8,031.94x = 49,813,808.07
  5. Step 5: Solve for x
    x = 49,813,808.07/8,031.94
  6. Step 6: Final answer
    x = 6,201.96

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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.