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Finding the Fourth Proportional to 11,043.46, 15,219.49 and 8,206.34

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Solution

The fourth proportional to 11,043.46, 15,219.49 and 8,206.34 is: 11,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043.46 : 15,219.49 = 8,206.34 : x
  2. Step 2: Convert to fraction form
    11,043.46/15,219.49 = 8,206.34/x
  3. Step 3: Cross multiply
    11,043.46x = 15,219.49 × 8,206.34
  4. Step 4: Simplify right side
    11,043.46x = 124,896,309.57
  5. Step 5: Solve for x
    x = 124,896,309.57/11,043.46
  6. Step 6: Final answer
    x = 11,309.53

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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.