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Finding the Fourth Proportional to 11,813.91, 16,302.59 and 6,508.61

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Solution

The fourth proportional to 11,813.91, 16,302.59 and 6,508.61 is: 8,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.91 : 16,302.59 = 6,508.61 : x
  2. Step 2: Convert to fraction form
    11,813.91/16,302.59 = 6,508.61/x
  3. Step 3: Cross multiply
    11,813.91x = 16,302.59 × 6,508.61
  4. Step 4: Simplify right side
    11,813.91x = 106,107,200.30
  5. Step 5: Solve for x
    x = 106,107,200.30/11,813.91
  6. Step 6: Final answer
    x = 8,981.55

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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.