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Finding the Fourth Proportional to 8,101.92, 11,180.68 and 5,119.08

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Solution

The fourth proportional to 8,101.92, 11,180.68 and 5,119.08 is: 7,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.92 : 11,180.68 = 5,119.08 : x
  2. Step 2: Convert to fraction form
    8,101.92/11,180.68 = 5,119.08/x
  3. Step 3: Cross multiply
    8,101.92x = 11,180.68 × 5,119.08
  4. Step 4: Simplify right side
    8,101.92x = 57,234,795.37
  5. Step 5: Solve for x
    x = 57,234,795.37/8,101.92
  6. Step 6: Final answer
    x = 7,064.35

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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.