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Finding the Fourth Proportional to 6,683.88, 10,029.06 and 3,173.34

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Solution

The fourth proportional to 6,683.88, 10,029.06 and 3,173.34 is: 4,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.88 : 10,029.06 = 3,173.34 : x
  2. Step 2: Convert to fraction form
    6,683.88/10,029.06 = 3,173.34/x
  3. Step 3: Cross multiply
    6,683.88x = 10,029.06 × 3,173.34
  4. Step 4: Simplify right side
    6,683.88x = 31,825,617.26
  5. Step 5: Solve for x
    x = 31,825,617.26/6,683.88
  6. Step 6: Final answer
    x = 4,761.55

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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.