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Finding the Fourth Proportional to 11,096.34, 15,309.57 and 6,680.34

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Solution

The fourth proportional to 11,096.34, 15,309.57 and 6,680.34 is: 9,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.34 : 15,309.57 = 6,680.34 : x
  2. Step 2: Convert to fraction form
    11,096.34/15,309.57 = 6,680.34/x
  3. Step 3: Cross multiply
    11,096.34x = 15,309.57 × 6,680.34
  4. Step 4: Simplify right side
    11,096.34x = 102,273,132.85
  5. Step 5: Solve for x
    x = 102,273,132.85/11,096.34
  6. Step 6: Final answer
    x = 9,216.83

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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.