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Finding the Fourth Proportional to 10,129.12, 13,978.08 and 5,936.56

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Solution

The fourth proportional to 10,129.12, 13,978.08 and 5,936.56 is: 8,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.12 : 13,978.08 = 5,936.56 : x
  2. Step 2: Convert to fraction form
    10,129.12/13,978.08 = 5,936.56/x
  3. Step 3: Cross multiply
    10,129.12x = 13,978.08 × 5,936.56
  4. Step 4: Simplify right side
    10,129.12x = 82,981,710.60
  5. Step 5: Solve for x
    x = 82,981,710.60/10,129.12
  6. Step 6: Final answer
    x = 8,192.39

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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.