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Finding the Fourth Proportional to 11,829.70, 16,327.74 and 7,850.98

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Solution

The fourth proportional to 11,829.70, 16,327.74 and 7,850.98 is: 10,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.70 : 16,327.74 = 7,850.98 : x
  2. Step 2: Convert to fraction form
    11,829.70/16,327.74 = 7,850.98/x
  3. Step 3: Cross multiply
    11,829.70x = 16,327.74 × 7,850.98
  4. Step 4: Simplify right side
    11,829.70x = 128,188,760.19
  5. Step 5: Solve for x
    x = 128,188,760.19/11,829.70
  6. Step 6: Final answer
    x = 10,836.18

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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.