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Finding the Fourth Proportional to 8,146.68, 12,221.07 and 2,303.43

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Solution

The fourth proportional to 8,146.68, 12,221.07 and 2,303.43 is: 3,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.68 : 12,221.07 = 2,303.43 : x
  2. Step 2: Convert to fraction form
    8,146.68/12,221.07 = 2,303.43/x
  3. Step 3: Cross multiply
    8,146.68x = 12,221.07 × 2,303.43
  4. Step 4: Simplify right side
    8,146.68x = 28,150,379.27
  5. Step 5: Solve for x
    x = 28,150,379.27/8,146.68
  6. Step 6: Final answer
    x = 3,455.44

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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.