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Finding the Fourth Proportional to 8,178.69, 12,236.13 and 7,183.59

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Solution

The fourth proportional to 8,178.69, 12,236.13 and 7,183.59 is: 10,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.69 : 12,236.13 = 7,183.59 : x
  2. Step 2: Convert to fraction form
    8,178.69/12,236.13 = 7,183.59/x
  3. Step 3: Cross multiply
    8,178.69x = 12,236.13 × 7,183.59
  4. Step 4: Simplify right side
    8,178.69x = 87,899,341.11
  5. Step 5: Solve for x
    x = 87,899,341.11/8,178.69
  6. Step 6: Final answer
    x = 10,747.36

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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.