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Finding the Fourth Proportional to 11,898.81, 16,419.67 and 6,520.20

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Solution

The fourth proportional to 11,898.81, 16,419.67 and 6,520.20 is: 8,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.81 : 16,419.67 = 6,520.20 : x
  2. Step 2: Convert to fraction form
    11,898.81/16,419.67 = 6,520.20/x
  3. Step 3: Cross multiply
    11,898.81x = 16,419.67 × 6,520.20
  4. Step 4: Simplify right side
    11,898.81x = 107,059,532.33
  5. Step 5: Solve for x
    x = 107,059,532.33/11,898.81
  6. Step 6: Final answer
    x = 8,997.50

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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.