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Finding the Fourth Proportional to 10,213.54, 14,094.74 and 5,737.48

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Solution

The fourth proportional to 10,213.54, 14,094.74 and 5,737.48 is: 7,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.54 : 14,094.74 = 5,737.48 : x
  2. Step 2: Convert to fraction form
    10,213.54/14,094.74 = 5,737.48/x
  3. Step 3: Cross multiply
    10,213.54x = 14,094.74 × 5,737.48
  4. Step 4: Simplify right side
    10,213.54x = 80,868,189.69
  5. Step 5: Solve for x
    x = 80,868,189.69/10,213.54
  6. Step 6: Final answer
    x = 7,917.75

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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.