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Finding the Fourth Proportional to 11,914.46, 17,849.13 and 7,953.78

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Solution

The fourth proportional to 11,914.46, 17,849.13 and 7,953.78 is: 11,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.46 : 17,849.13 = 7,953.78 : x
  2. Step 2: Convert to fraction form
    11,914.46/17,849.13 = 7,953.78/x
  3. Step 3: Cross multiply
    11,914.46x = 17,849.13 × 7,953.78
  4. Step 4: Simplify right side
    11,914.46x = 141,967,963.97
  5. Step 5: Solve for x
    x = 141,967,963.97/11,914.46
  6. Step 6: Final answer
    x = 11,915.60

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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.