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Finding the Fourth Proportional to 10,188.64, 14,060.37 and 5,942.64

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Solution

The fourth proportional to 10,188.64, 14,060.37 and 5,942.64 is: 8,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.64 : 14,060.37 = 5,942.64 : x
  2. Step 2: Convert to fraction form
    10,188.64/14,060.37 = 5,942.64/x
  3. Step 3: Cross multiply
    10,188.64x = 14,060.37 × 5,942.64
  4. Step 4: Simplify right side
    10,188.64x = 83,555,717.18
  5. Step 5: Solve for x
    x = 83,555,717.18/10,188.64
  6. Step 6: Final answer
    x = 8,200.87

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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.