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Finding the Fourth Proportional to 8,119.26, 12,183.93 and 5,199.66

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Solution

The fourth proportional to 8,119.26, 12,183.93 and 5,199.66 is: 7,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.26 : 12,183.93 = 5,199.66 : x
  2. Step 2: Convert to fraction form
    8,119.26/12,183.93 = 5,199.66/x
  3. Step 3: Cross multiply
    8,119.26x = 12,183.93 × 5,199.66
  4. Step 4: Simplify right side
    8,119.26x = 63,352,293.46
  5. Step 5: Solve for x
    x = 63,352,293.46/8,119.26
  6. Step 6: Final answer
    x = 7,802.72

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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.