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Finding the Fourth Proportional to 8,093.70, 11,168 and 5,111.14

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Solution

The fourth proportional to 8,093.70, 11,168 and 5,111.14 is: 7,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.70 : 11,168 = 5,111.14 : x
  2. Step 2: Convert to fraction form
    8,093.70/11,168 = 5,111.14/x
  3. Step 3: Cross multiply
    8,093.70x = 11,168 × 5,111.14
  4. Step 4: Simplify right side
    8,093.70x = 57,081,211.52
  5. Step 5: Solve for x
    x = 57,081,211.52/8,093.70
  6. Step 6: Final answer
    x = 7,052.55

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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.