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Finding the Fourth Proportional to 10,213.52, 14,094.34 and 5,737.76

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Solution

The fourth proportional to 10,213.52, 14,094.34 and 5,737.76 is: 7,917.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.52 : 14,094.34 = 5,737.76 : x
  2. Step 2: Convert to fraction form
    10,213.52/14,094.34 = 5,737.76/x
  3. Step 3: Cross multiply
    10,213.52x = 14,094.34 × 5,737.76
  4. Step 4: Simplify right side
    10,213.52x = 80,869,940.28
  5. Step 5: Solve for x
    x = 80,869,940.28/10,213.52
  6. Step 6: Final answer
    x = 7,917.93

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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.