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Finding the Fourth Proportional to 11,382.67, 17,057.49 and 6,113.53

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Solution

The fourth proportional to 11,382.67, 17,057.49 and 6,113.53 is: 9,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.67 : 17,057.49 = 6,113.53 : x
  2. Step 2: Convert to fraction form
    11,382.67/17,057.49 = 6,113.53/x
  3. Step 3: Cross multiply
    11,382.67x = 17,057.49 × 6,113.53
  4. Step 4: Simplify right side
    11,382.67x = 104,281,476.84
  5. Step 5: Solve for x
    x = 104,281,476.84/11,382.67
  6. Step 6: Final answer
    x = 9,161.42

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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.