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Finding the Fourth Proportional to 10,143.63, 13,997.34 and 5,836.86

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Solution

The fourth proportional to 10,143.63, 13,997.34 and 5,836.86 is: 8,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.63 : 13,997.34 = 5,836.86 : x
  2. Step 2: Convert to fraction form
    10,143.63/13,997.34 = 5,836.86/x
  3. Step 3: Cross multiply
    10,143.63x = 13,997.34 × 5,836.86
  4. Step 4: Simplify right side
    10,143.63x = 81,700,513.95
  5. Step 5: Solve for x
    x = 81,700,513.95/10,143.63
  6. Step 6: Final answer
    x = 8,054.37

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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.