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Finding the Fourth Proportional to 10,178.94, 14,046.97 and 5,932.52

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Solution

The fourth proportional to 10,178.94, 14,046.97 and 5,932.52 is: 8,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.94 : 14,046.97 = 5,932.52 : x
  2. Step 2: Convert to fraction form
    10,178.94/14,046.97 = 5,932.52/x
  3. Step 3: Cross multiply
    10,178.94x = 14,046.97 × 5,932.52
  4. Step 4: Simplify right side
    10,178.94x = 83,333,930.46
  5. Step 5: Solve for x
    x = 83,333,930.46/10,178.94
  6. Step 6: Final answer
    x = 8,186.90

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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.