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Finding the Fourth Proportional to 6,161.96, 8,507.44 and 3,805.47

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Solution

The fourth proportional to 6,161.96, 8,507.44 and 3,805.47 is: 5,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.96 : 8,507.44 = 3,805.47 : x
  2. Step 2: Convert to fraction form
    6,161.96/8,507.44 = 3,805.47/x
  3. Step 3: Cross multiply
    6,161.96x = 8,507.44 × 3,805.47
  4. Step 4: Simplify right side
    6,161.96x = 32,374,807.70
  5. Step 5: Solve for x
    x = 32,374,807.70/6,161.96
  6. Step 6: Final answer
    x = 5,253.98

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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.