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Finding the Fourth Proportional to 11,898.20, 16,420.05 and 6,593.01

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Solution

The fourth proportional to 11,898.20, 16,420.05 and 6,593.01 is: 9,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.20 : 16,420.05 = 6,593.01 : x
  2. Step 2: Convert to fraction form
    11,898.20/16,420.05 = 6,593.01/x
  3. Step 3: Cross multiply
    11,898.20x = 16,420.05 × 6,593.01
  4. Step 4: Simplify right side
    11,898.20x = 108,257,553.85
  5. Step 5: Solve for x
    x = 108,257,553.85/11,898.20
  6. Step 6: Final answer
    x = 9,098.65

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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.