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Finding the Fourth Proportional to 6,813.60, 10,223.45 and 3,306.30

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Solution

The fourth proportional to 6,813.60, 10,223.45 and 3,306.30 is: 4,960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.60 : 10,223.45 = 3,306.30 : x
  2. Step 2: Convert to fraction form
    6,813.60/10,223.45 = 3,306.30/x
  3. Step 3: Cross multiply
    6,813.60x = 10,223.45 × 3,306.30
  4. Step 4: Simplify right side
    6,813.60x = 33,801,776.20
  5. Step 5: Solve for x
    x = 33,801,776.20/6,813.60
  6. Step 6: Final answer
    x = 4,960.93

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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.