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Finding the Fourth Proportional to 10,796.14, 16,191.78 and 7,046.74

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Solution

The fourth proportional to 10,796.14, 16,191.78 and 7,046.74 is: 10,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.14 : 16,191.78 = 7,046.74 : x
  2. Step 2: Convert to fraction form
    10,796.14/16,191.78 = 7,046.74/x
  3. Step 3: Cross multiply
    10,796.14x = 16,191.78 × 7,046.74
  4. Step 4: Simplify right side
    10,796.14x = 114,099,263.80
  5. Step 5: Solve for x
    x = 114,099,263.80/10,796.14
  6. Step 6: Final answer
    x = 10,568.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.