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Finding the Fourth Proportional to 10,093.50, 13,926.90 and 5,900.94

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Solution

The fourth proportional to 10,093.50, 13,926.90 and 5,900.94 is: 8,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.50 : 13,926.90 = 5,900.94 : x
  2. Step 2: Convert to fraction form
    10,093.50/13,926.90 = 5,900.94/x
  3. Step 3: Cross multiply
    10,093.50x = 13,926.90 × 5,900.94
  4. Step 4: Simplify right side
    10,093.50x = 82,181,801.29
  5. Step 5: Solve for x
    x = 82,181,801.29/10,093.50
  6. Step 6: Final answer
    x = 8,142.05

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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.