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Finding the Fourth Proportional to 8,782.64, 12,120.48 and 5,199.65

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Solution

The fourth proportional to 8,782.64, 12,120.48 and 5,199.65 is: 7,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.64 : 12,120.48 = 5,199.65 : x
  2. Step 2: Convert to fraction form
    8,782.64/12,120.48 = 5,199.65/x
  3. Step 3: Cross multiply
    8,782.64x = 12,120.48 × 5,199.65
  4. Step 4: Simplify right side
    8,782.64x = 63,022,238.68
  5. Step 5: Solve for x
    x = 63,022,238.68/8,782.64
  6. Step 6: Final answer
    x = 7,175.78

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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.