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Finding the Fourth Proportional to 10,063.86, 13,887.93 and 5,817.30

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Solution

The fourth proportional to 10,063.86, 13,887.93 and 5,817.30 is: 8,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.86 : 13,887.93 = 5,817.30 : x
  2. Step 2: Convert to fraction form
    10,063.86/13,887.93 = 5,817.30/x
  3. Step 3: Cross multiply
    10,063.86x = 13,887.93 × 5,817.30
  4. Step 4: Simplify right side
    10,063.86x = 80,790,255.19
  5. Step 5: Solve for x
    x = 80,790,255.19/10,063.86
  6. Step 6: Final answer
    x = 8,027.76

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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.