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Finding the Fourth Proportional to 10,213.73, 14,094.42 and 5,737.67

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Solution

The fourth proportional to 10,213.73, 14,094.42 and 5,737.67 is: 7,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.73 : 14,094.42 = 5,737.67 : x
  2. Step 2: Convert to fraction form
    10,213.73/14,094.42 = 5,737.67/x
  3. Step 3: Cross multiply
    10,213.73x = 14,094.42 × 5,737.67
  4. Step 4: Simplify right side
    10,213.73x = 80,869,060.33
  5. Step 5: Solve for x
    x = 80,869,060.33/10,213.73
  6. Step 6: Final answer
    x = 7,917.69

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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.