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Finding the Fourth Proportional to 6,813.72, 10,220.65 and 2,134.45

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Solution

The fourth proportional to 6,813.72, 10,220.65 and 2,134.45 is: 3,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.72 : 10,220.65 = 2,134.45 : x
  2. Step 2: Convert to fraction form
    6,813.72/10,220.65 = 2,134.45/x
  3. Step 3: Cross multiply
    6,813.72x = 10,220.65 × 2,134.45
  4. Step 4: Simplify right side
    6,813.72x = 21,815,473.83
  5. Step 5: Solve for x
    x = 21,815,473.83/6,813.72
  6. Step 6: Final answer
    x = 3,201.70

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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.