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Finding the Fourth Proportional to 10,188.38, 14,060.00 and 5,942.37

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Solution

The fourth proportional to 10,188.38, 14,060.00 and 5,942.37 is: 8,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.38 : 14,060.00 = 5,942.37 : x
  2. Step 2: Convert to fraction form
    10,188.38/14,060.00 = 5,942.37/x
  3. Step 3: Cross multiply
    10,188.38x = 14,060.00 × 5,942.37
  4. Step 4: Simplify right side
    10,188.38x = 83,549,671.70
  5. Step 5: Solve for x
    x = 83,549,671.70/10,188.38
  6. Step 6: Final answer
    x = 8,200.49

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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.