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Finding the Fourth Proportional to 10,682.33, 16,017.99 and 6,248.65

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Solution

The fourth proportional to 10,682.33, 16,017.99 and 6,248.65 is: 9,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.33 : 16,017.99 = 6,248.65 : x
  2. Step 2: Convert to fraction form
    10,682.33/16,017.99 = 6,248.65/x
  3. Step 3: Cross multiply
    10,682.33x = 16,017.99 × 6,248.65
  4. Step 4: Simplify right side
    10,682.33x = 100,090,773.17
  5. Step 5: Solve for x
    x = 100,090,773.17/10,682.33
  6. Step 6: Final answer
    x = 9,369.75

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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.