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Finding the Fourth Proportional to 11,392.25, 17,059.16 and 7,877.41

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Solution

The fourth proportional to 11,392.25, 17,059.16 and 7,877.41 is: 11,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.25 : 17,059.16 = 7,877.41 : x
  2. Step 2: Convert to fraction form
    11,392.25/17,059.16 = 7,877.41/x
  3. Step 3: Cross multiply
    11,392.25x = 17,059.16 × 7,877.41
  4. Step 4: Simplify right side
    11,392.25x = 134,381,915.54
  5. Step 5: Solve for x
    x = 134,381,915.54/11,392.25
  6. Step 6: Final answer
    x = 11,795.91

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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.