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Finding the Fourth Proportional to 11,838.97, 16,338.95 and 8,849.62

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Solution

The fourth proportional to 11,838.97, 16,338.95 and 8,849.62 is: 12,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.97 : 16,338.95 = 8,849.62 : x
  2. Step 2: Convert to fraction form
    11,838.97/16,338.95 = 8,849.62/x
  3. Step 3: Cross multiply
    11,838.97x = 16,338.95 × 8,849.62
  4. Step 4: Simplify right side
    11,838.97x = 144,593,498.70
  5. Step 5: Solve for x
    x = 144,593,498.70/11,838.97
  6. Step 6: Final answer
    x = 12,213.35

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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.