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Finding the Fourth Proportional to 11,521.80, 15,914.79 and 8,816.57

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Solution

The fourth proportional to 11,521.80, 15,914.79 and 8,816.57 is: 12,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.80 : 15,914.79 = 8,816.57 : x
  2. Step 2: Convert to fraction form
    11,521.80/15,914.79 = 8,816.57/x
  3. Step 3: Cross multiply
    11,521.80x = 15,914.79 × 8,816.57
  4. Step 4: Simplify right side
    11,521.80x = 140,313,780.50
  5. Step 5: Solve for x
    x = 140,313,780.50/11,521.80
  6. Step 6: Final answer
    x = 12,178.11

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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.