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Finding the Fourth Proportional to 10,785.96, 16,163.90 and 8,151.30

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Solution

The fourth proportional to 10,785.96, 16,163.90 and 8,151.30 is: 12,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.96 : 16,163.90 = 8,151.30 : x
  2. Step 2: Convert to fraction form
    10,785.96/16,163.90 = 8,151.30/x
  3. Step 3: Cross multiply
    10,785.96x = 16,163.90 × 8,151.30
  4. Step 4: Simplify right side
    10,785.96x = 131,756,798.07
  5. Step 5: Solve for x
    x = 131,756,798.07/10,785.96
  6. Step 6: Final answer
    x = 12,215.58

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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.