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Finding the Fourth Proportional to 11,515.33, 17,245.31 and 6,569.97

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Solution

The fourth proportional to 11,515.33, 17,245.31 and 6,569.97 is: 9,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.33 : 17,245.31 = 6,569.97 : x
  2. Step 2: Convert to fraction form
    11,515.33/17,245.31 = 6,569.97/x
  3. Step 3: Cross multiply
    11,515.33x = 17,245.31 × 6,569.97
  4. Step 4: Simplify right side
    11,515.33x = 113,301,174.47
  5. Step 5: Solve for x
    x = 113,301,174.47/11,515.33
  6. Step 6: Final answer
    x = 9,839.16

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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.