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Finding the Fourth Proportional to 11,915.26, 17,872.16 and 5,339.68

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Solution

The fourth proportional to 11,915.26, 17,872.16 and 5,339.68 is: 8,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.26 : 17,872.16 = 5,339.68 : x
  2. Step 2: Convert to fraction form
    11,915.26/17,872.16 = 5,339.68/x
  3. Step 3: Cross multiply
    11,915.26x = 17,872.16 × 5,339.68
  4. Step 4: Simplify right side
    11,915.26x = 95,431,615.31
  5. Step 5: Solve for x
    x = 95,431,615.31/11,915.26
  6. Step 6: Final answer
    x = 8,009.19

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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.