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Finding the Fourth Proportional to 10,213, 14,093.67 and 5,737.24

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Solution

The fourth proportional to 10,213, 14,093.67 and 5,737.24 is: 7,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213 : 14,093.67 = 5,737.24 : x
  2. Step 2: Convert to fraction form
    10,213/14,093.67 = 5,737.24/x
  3. Step 3: Cross multiply
    10,213x = 14,093.67 × 5,737.24
  4. Step 4: Simplify right side
    10,213x = 80,858,767.27
  5. Step 5: Solve for x
    x = 80,858,767.27/10,213
  6. Step 6: Final answer
    x = 7,917.24

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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.