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Finding the Fourth Proportional to 10,188.86, 14,060.79 and 5,713.61

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Solution

The fourth proportional to 10,188.86, 14,060.79 and 5,713.61 is: 7,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.86 : 14,060.79 = 5,713.61 : x
  2. Step 2: Convert to fraction form
    10,188.86/14,060.79 = 5,713.61/x
  3. Step 3: Cross multiply
    10,188.86x = 14,060.79 × 5,713.61
  4. Step 4: Simplify right side
    10,188.86x = 80,337,800.05
  5. Step 5: Solve for x
    x = 80,337,800.05/10,188.86
  6. Step 6: Final answer
    x = 7,884.87

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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.