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Finding the Fourth Proportional to 11,915.51, 16,443.01 and 7,198.97

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Solution

The fourth proportional to 11,915.51, 16,443.01 and 7,198.97 is: 9,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.51 : 16,443.01 = 7,198.97 : x
  2. Step 2: Convert to fraction form
    11,915.51/16,443.01 = 7,198.97/x
  3. Step 3: Cross multiply
    11,915.51x = 16,443.01 × 7,198.97
  4. Step 4: Simplify right side
    11,915.51x = 118,372,735.70
  5. Step 5: Solve for x
    x = 118,372,735.70/11,915.51
  6. Step 6: Final answer
    x = 9,934.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.