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Finding the Fourth Proportional to 8,241.83, 11,375.76 and 4,707.09

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Solution

The fourth proportional to 8,241.83, 11,375.76 and 4,707.09 is: 6,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.83 : 11,375.76 = 4,707.09 : x
  2. Step 2: Convert to fraction form
    8,241.83/11,375.76 = 4,707.09/x
  3. Step 3: Cross multiply
    8,241.83x = 11,375.76 × 4,707.09
  4. Step 4: Simplify right side
    8,241.83x = 53,546,717.31
  5. Step 5: Solve for x
    x = 53,546,717.31/8,241.83
  6. Step 6: Final answer
    x = 6,496.95

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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.