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Finding the Fourth Proportional to 8,203.40, 12,311.56 and 3,009.68

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Solution

The fourth proportional to 8,203.40, 12,311.56 and 3,009.68 is: 4,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.40 : 12,311.56 = 3,009.68 : x
  2. Step 2: Convert to fraction form
    8,203.40/12,311.56 = 3,009.68/x
  3. Step 3: Cross multiply
    8,203.40x = 12,311.56 × 3,009.68
  4. Step 4: Simplify right side
    8,203.40x = 37,053,855.90
  5. Step 5: Solve for x
    x = 37,053,855.90/8,203.40
  6. Step 6: Final answer
    x = 4,516.89

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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.