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Finding the Fourth Proportional to 8,071.81, 11,138.77 and 4,486.94

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Solution

The fourth proportional to 8,071.81, 11,138.77 and 4,486.94 is: 6,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.81 : 11,138.77 = 4,486.94 : x
  2. Step 2: Convert to fraction form
    8,071.81/11,138.77 = 4,486.94/x
  3. Step 3: Cross multiply
    8,071.81x = 11,138.77 × 4,486.94
  4. Step 4: Simplify right side
    8,071.81x = 49,978,992.66
  5. Step 5: Solve for x
    x = 49,978,992.66/8,071.81
  6. Step 6: Final answer
    x = 6,191.79

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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.