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Finding the Fourth Proportional to 10,092, 13,926.96 and 5,900.16

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Solution

The fourth proportional to 10,092, 13,926.96 and 5,900.16 is: 8,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092 : 13,926.96 = 5,900.16 : x
  2. Step 2: Convert to fraction form
    10,092/13,926.96 = 5,900.16/x
  3. Step 3: Cross multiply
    10,092x = 13,926.96 × 5,900.16
  4. Step 4: Simplify right side
    10,092x = 82,171,292.31
  5. Step 5: Solve for x
    x = 82,171,292.31/10,092
  6. Step 6: Final answer
    x = 8,142.22

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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.