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Finding the Fourth Proportional to 11,836.33, 16,333.50 and 6,530.11

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Solution

The fourth proportional to 11,836.33, 16,333.50 and 6,530.11 is: 9,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.33 : 16,333.50 = 6,530.11 : x
  2. Step 2: Convert to fraction form
    11,836.33/16,333.50 = 6,530.11/x
  3. Step 3: Cross multiply
    11,836.33x = 16,333.50 × 6,530.11
  4. Step 4: Simplify right side
    11,836.33x = 106,659,551.69
  5. Step 5: Solve for x
    x = 106,659,551.69/11,836.33
  6. Step 6: Final answer
    x = 9,011.20

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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.