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Finding the Fourth Proportional to 10,721.70, 16,096.32 and 8,258.22

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Solution

The fourth proportional to 10,721.70, 16,096.32 and 8,258.22 is: 12,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.70 : 16,096.32 = 8,258.22 : x
  2. Step 2: Convert to fraction form
    10,721.70/16,096.32 = 8,258.22/x
  3. Step 3: Cross multiply
    10,721.70x = 16,096.32 × 8,258.22
  4. Step 4: Simplify right side
    10,721.70x = 132,926,951.75
  5. Step 5: Solve for x
    x = 132,926,951.75/10,721.70
  6. Step 6: Final answer
    x = 12,397.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.