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Finding the Fourth Proportional to 8,293.38, 11,444.82 and 4,516.44

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Solution

The fourth proportional to 8,293.38, 11,444.82 and 4,516.44 is: 6,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.38 : 11,444.82 = 4,516.44 : x
  2. Step 2: Convert to fraction form
    8,293.38/11,444.82 = 4,516.44/x
  3. Step 3: Cross multiply
    8,293.38x = 11,444.82 × 4,516.44
  4. Step 4: Simplify right side
    8,293.38x = 51,689,842.84
  5. Step 5: Solve for x
    x = 51,689,842.84/8,293.38
  6. Step 6: Final answer
    x = 6,232.66

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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.