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Finding the Fourth Proportional to 11,898.26, 16,420.16 and 6,593.10

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Solution

The fourth proportional to 11,898.26, 16,420.16 and 6,593.10 is: 9,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.26 : 16,420.16 = 6,593.10 : x
  2. Step 2: Convert to fraction form
    11,898.26/16,420.16 = 6,593.10/x
  3. Step 3: Cross multiply
    11,898.26x = 16,420.16 × 6,593.10
  4. Step 4: Simplify right side
    11,898.26x = 108,259,756.90
  5. Step 5: Solve for x
    x = 108,259,756.90/11,898.26
  6. Step 6: Final answer
    x = 9,098.79

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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.