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Finding the Fourth Proportional to 6,753.85, 10,127.53 and 3,193.01

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Solution

The fourth proportional to 6,753.85, 10,127.53 and 3,193.01 is: 4,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.85 : 10,127.53 = 3,193.01 : x
  2. Step 2: Convert to fraction form
    6,753.85/10,127.53 = 3,193.01/x
  3. Step 3: Cross multiply
    6,753.85x = 10,127.53 × 3,193.01
  4. Step 4: Simplify right side
    6,753.85x = 32,337,304.57
  5. Step 5: Solve for x
    x = 32,337,304.57/6,753.85
  6. Step 6: Final answer
    x = 4,787.98

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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.