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Finding the Fourth Proportional to 10,193.56, 14,064.78 and 5,717.14

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Solution

The fourth proportional to 10,193.56, 14,064.78 and 5,717.14 is: 7,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.56 : 14,064.78 = 5,717.14 : x
  2. Step 2: Convert to fraction form
    10,193.56/14,064.78 = 5,717.14/x
  3. Step 3: Cross multiply
    10,193.56x = 14,064.78 × 5,717.14
  4. Step 4: Simplify right side
    10,193.56x = 80,410,316.33
  5. Step 5: Solve for x
    x = 80,410,316.33/10,193.56
  6. Step 6: Final answer
    x = 7,888.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.