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Finding the Fourth Proportional to 11,898.65, 16,420.24 and 6,593.56

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Solution

The fourth proportional to 11,898.65, 16,420.24 and 6,593.56 is: 9,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.65 : 16,420.24 = 6,593.56 : x
  2. Step 2: Convert to fraction form
    11,898.65/16,420.24 = 6,593.56/x
  3. Step 3: Cross multiply
    11,898.65x = 16,420.24 × 6,593.56
  4. Step 4: Simplify right side
    11,898.65x = 108,267,817.13
  5. Step 5: Solve for x
    x = 108,267,817.13/11,898.65
  6. Step 6: Final answer
    x = 9,099.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.