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Finding the Fourth Proportional to 8,782.67, 12,120.52 and 5,199.68

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Solution

The fourth proportional to 8,782.67, 12,120.52 and 5,199.68 is: 7,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.67 : 12,120.52 = 5,199.68 : x
  2. Step 2: Convert to fraction form
    8,782.67/12,120.52 = 5,199.68/x
  3. Step 3: Cross multiply
    8,782.67x = 12,120.52 × 5,199.68
  4. Step 4: Simplify right side
    8,782.67x = 63,022,856.83
  5. Step 5: Solve for x
    x = 63,022,856.83/8,782.67
  6. Step 6: Final answer
    x = 7,175.82

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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.