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Finding the Fourth Proportional to 11,898.92, 16,420.23 and 6,863.15

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Solution

The fourth proportional to 11,898.92, 16,420.23 and 6,863.15 is: 9,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.92 : 16,420.23 = 6,863.15 : x
  2. Step 2: Convert to fraction form
    11,898.92/16,420.23 = 6,863.15/x
  3. Step 3: Cross multiply
    11,898.92x = 16,420.23 × 6,863.15
  4. Step 4: Simplify right side
    11,898.92x = 112,694,501.52
  5. Step 5: Solve for x
    x = 112,694,501.52/11,898.92
  6. Step 6: Final answer
    x = 9,470.99

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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.