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Finding the Fourth Proportional to 8,183.57, 12,254.76 and 7,434.45

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Solution

The fourth proportional to 8,183.57, 12,254.76 and 7,434.45 is: 11,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.57 : 12,254.76 = 7,434.45 : x
  2. Step 2: Convert to fraction form
    8,183.57/12,254.76 = 7,434.45/x
  3. Step 3: Cross multiply
    8,183.57x = 12,254.76 × 7,434.45
  4. Step 4: Simplify right side
    8,183.57x = 91,107,400.48
  5. Step 5: Solve for x
    x = 91,107,400.48/8,183.57
  6. Step 6: Final answer
    x = 11,132.97

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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.