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Finding the Fourth Proportional to 8,120.79, 12,172.68 and 5,199.93

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Solution

The fourth proportional to 8,120.79, 12,172.68 and 5,199.93 is: 7,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.79 : 12,172.68 = 5,199.93 : x
  2. Step 2: Convert to fraction form
    8,120.79/12,172.68 = 5,199.93/x
  3. Step 3: Cross multiply
    8,120.79x = 12,172.68 × 5,199.93
  4. Step 4: Simplify right side
    8,120.79x = 63,297,083.91
  5. Step 5: Solve for x
    x = 63,297,083.91/8,120.79
  6. Step 6: Final answer
    x = 7,794.45

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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.