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Finding the Fourth Proportional to 8,049.82, 11,109.08 and 4,464.76

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Solution

The fourth proportional to 8,049.82, 11,109.08 and 4,464.76 is: 6,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.82 : 11,109.08 = 4,464.76 : x
  2. Step 2: Convert to fraction form
    8,049.82/11,109.08 = 4,464.76/x
  3. Step 3: Cross multiply
    8,049.82x = 11,109.08 × 4,464.76
  4. Step 4: Simplify right side
    8,049.82x = 49,599,376.02
  5. Step 5: Solve for x
    x = 49,599,376.02/8,049.82
  6. Step 6: Final answer
    x = 6,161.55

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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.