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Finding the Fourth Proportional to 7,699.43, 11,545.02 and 3,997.94

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Solution

The fourth proportional to 7,699.43, 11,545.02 and 3,997.94 is: 5,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.43 : 11,545.02 = 3,997.94 : x
  2. Step 2: Convert to fraction form
    7,699.43/11,545.02 = 3,997.94/x
  3. Step 3: Cross multiply
    7,699.43x = 11,545.02 × 3,997.94
  4. Step 4: Simplify right side
    7,699.43x = 46,156,239.53
  5. Step 5: Solve for x
    x = 46,156,239.53/7,699.43
  6. Step 6: Final answer
    x = 5,994.76

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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.