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Finding the Fourth Proportional to 6,686.13, 10,023.23 and 3,173.97

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Solution

The fourth proportional to 6,686.13, 10,023.23 and 3,173.97 is: 4,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.13 : 10,023.23 = 3,173.97 : x
  2. Step 2: Convert to fraction form
    6,686.13/10,023.23 = 3,173.97/x
  3. Step 3: Cross multiply
    6,686.13x = 10,023.23 × 3,173.97
  4. Step 4: Simplify right side
    6,686.13x = 31,813,381.21
  5. Step 5: Solve for x
    x = 31,813,381.21/6,686.13
  6. Step 6: Final answer
    x = 4,758.12

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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.