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Finding the Fourth Proportional to 10,836.65, 16,239.38 and 6,383.81

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Solution

The fourth proportional to 10,836.65, 16,239.38 and 6,383.81 is: 9,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836.65 : 16,239.38 = 6,383.81 : x
  2. Step 2: Convert to fraction form
    10,836.65/16,239.38 = 6,383.81/x
  3. Step 3: Cross multiply
    10,836.65x = 16,239.38 × 6,383.81
  4. Step 4: Simplify right side
    10,836.65x = 103,669,125.12
  5. Step 5: Solve for x
    x = 103,669,125.12/10,836.65
  6. Step 6: Final answer
    x = 9,566.53

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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.