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Finding the Fourth Proportional to 8,093.48, 11,169.69 and 4,557.38

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Solution

The fourth proportional to 8,093.48, 11,169.69 and 4,557.38 is: 6,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.48 : 11,169.69 = 4,557.38 : x
  2. Step 2: Convert to fraction form
    8,093.48/11,169.69 = 4,557.38/x
  3. Step 3: Cross multiply
    8,093.48x = 11,169.69 × 4,557.38
  4. Step 4: Simplify right side
    8,093.48x = 50,904,521.81
  5. Step 5: Solve for x
    x = 50,904,521.81/8,093.48
  6. Step 6: Final answer
    x = 6,289.57

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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.