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Finding the Fourth Proportional to 7,847.91, 11,767.01 and 3,685.32

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Solution

The fourth proportional to 7,847.91, 11,767.01 and 3,685.32 is: 5,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.91 : 11,767.01 = 3,685.32 : x
  2. Step 2: Convert to fraction form
    7,847.91/11,767.01 = 3,685.32/x
  3. Step 3: Cross multiply
    7,847.91x = 11,767.01 × 3,685.32
  4. Step 4: Simplify right side
    7,847.91x = 43,365,178.87
  5. Step 5: Solve for x
    x = 43,365,178.87/7,847.91
  6. Step 6: Final answer
    x = 5,525.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.