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Finding the Fourth Proportional to 6,765.85, 10,142.90 and 3,254.10

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Solution

The fourth proportional to 6,765.85, 10,142.90 and 3,254.10 is: 4,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.85 : 10,142.90 = 3,254.10 : x
  2. Step 2: Convert to fraction form
    6,765.85/10,142.90 = 3,254.10/x
  3. Step 3: Cross multiply
    6,765.85x = 10,142.90 × 3,254.10
  4. Step 4: Simplify right side
    6,765.85x = 33,006,010.89
  5. Step 5: Solve for x
    x = 33,006,010.89/6,765.85
  6. Step 6: Final answer
    x = 4,878.32

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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.