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Finding the Fourth Proportional to 6,685.88, 10,029.05 and 3,174.08

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Solution

The fourth proportional to 6,685.88, 10,029.05 and 3,174.08 is: 4,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.88 : 10,029.05 = 3,174.08 : x
  2. Step 2: Convert to fraction form
    6,685.88/10,029.05 = 3,174.08/x
  3. Step 3: Cross multiply
    6,685.88x = 10,029.05 × 3,174.08
  4. Step 4: Simplify right side
    6,685.88x = 31,832,941.01
  5. Step 5: Solve for x
    x = 31,832,941.01/6,685.88
  6. Step 6: Final answer
    x = 4,761.22

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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.