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Finding the Fourth Proportional to 6,801.03, 10,193.31 and 3,102.30

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Solution

The fourth proportional to 6,801.03, 10,193.31 and 3,102.30 is: 4,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.03 : 10,193.31 = 3,102.30 : x
  2. Step 2: Convert to fraction form
    6,801.03/10,193.31 = 3,102.30/x
  3. Step 3: Cross multiply
    6,801.03x = 10,193.31 × 3,102.30
  4. Step 4: Simplify right side
    6,801.03x = 31,622,705.61
  5. Step 5: Solve for x
    x = 31,622,705.61/6,801.03
  6. Step 6: Final answer
    x = 4,649.69

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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.