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Finding the Fourth Proportional to 10,178.44, 14,046.28 and 5,932.02

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Solution

The fourth proportional to 10,178.44, 14,046.28 and 5,932.02 is: 8,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.44 : 14,046.28 = 5,932.02 : x
  2. Step 2: Convert to fraction form
    10,178.44/14,046.28 = 5,932.02/x
  3. Step 3: Cross multiply
    10,178.44x = 14,046.28 × 5,932.02
  4. Step 4: Simplify right side
    10,178.44x = 83,322,813.89
  5. Step 5: Solve for x
    x = 83,322,813.89/10,178.44
  6. Step 6: Final answer
    x = 8,186.21

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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.