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Finding the Fourth Proportional to 8,634.88, 11,915.69 and 5,097.41

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Solution

The fourth proportional to 8,634.88, 11,915.69 and 5,097.41 is: 7,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.88 : 11,915.69 = 5,097.41 : x
  2. Step 2: Convert to fraction form
    8,634.88/11,915.69 = 5,097.41/x
  3. Step 3: Cross multiply
    8,634.88x = 11,915.69 × 5,097.41
  4. Step 4: Simplify right side
    8,634.88x = 60,739,110.53
  5. Step 5: Solve for x
    x = 60,739,110.53/8,634.88
  6. Step 6: Final answer
    x = 7,034.16

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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.