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Finding the Fourth Proportional to 11,809.80, 16,295.12 and 8,976.42

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Solution

The fourth proportional to 11,809.80, 16,295.12 and 8,976.42 is: 12,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.80 : 16,295.12 = 8,976.42 : x
  2. Step 2: Convert to fraction form
    11,809.80/16,295.12 = 8,976.42/x
  3. Step 3: Cross multiply
    11,809.80x = 16,295.12 × 8,976.42
  4. Step 4: Simplify right side
    11,809.80x = 146,271,841.07
  5. Step 5: Solve for x
    x = 146,271,841.07/11,809.80
  6. Step 6: Final answer
    x = 12,385.63

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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.