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Finding the Fourth Proportional to 10,213.67, 14,093.05 and 5,737.61

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Solution

The fourth proportional to 10,213.67, 14,093.05 and 5,737.61 is: 7,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.67 : 14,093.05 = 5,737.61 : x
  2. Step 2: Convert to fraction form
    10,213.67/14,093.05 = 5,737.61/x
  3. Step 3: Cross multiply
    10,213.67x = 14,093.05 × 5,737.61
  4. Step 4: Simplify right side
    10,213.67x = 80,860,424.61
  5. Step 5: Solve for x
    x = 80,860,424.61/10,213.67
  6. Step 6: Final answer
    x = 7,916.88

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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.