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Finding the Fourth Proportional to 8,071.75, 11,134.83 and 5,420.08

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Solution

The fourth proportional to 8,071.75, 11,134.83 and 5,420.08 is: 7,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.75 : 11,134.83 = 5,420.08 : x
  2. Step 2: Convert to fraction form
    8,071.75/11,134.83 = 5,420.08/x
  3. Step 3: Cross multiply
    8,071.75x = 11,134.83 × 5,420.08
  4. Step 4: Simplify right side
    8,071.75x = 60,351,669.39
  5. Step 5: Solve for x
    x = 60,351,669.39/8,071.75
  6. Step 6: Final answer
    x = 7,476.90

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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.