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Finding the Fourth Proportional to 7,146.08, 10,697.85 and 6,395.21

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Solution

The fourth proportional to 7,146.08, 10,697.85 and 6,395.21 is: 9,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.08 : 10,697.85 = 6,395.21 : x
  2. Step 2: Convert to fraction form
    7,146.08/10,697.85 = 6,395.21/x
  3. Step 3: Cross multiply
    7,146.08x = 10,697.85 × 6,395.21
  4. Step 4: Simplify right side
    7,146.08x = 68,414,997.30
  5. Step 5: Solve for x
    x = 68,414,997.30/7,146.08
  6. Step 6: Final answer
    x = 9,573.78

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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.