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Finding the Fourth Proportional to 10,915.25, 16,372.26 and 3,894.98

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Solution

The fourth proportional to 10,915.25, 16,372.26 and 3,894.98 is: 5,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.25 : 16,372.26 = 3,894.98 : x
  2. Step 2: Convert to fraction form
    10,915.25/16,372.26 = 3,894.98/x
  3. Step 3: Cross multiply
    10,915.25x = 16,372.26 × 3,894.98
  4. Step 4: Simplify right side
    10,915.25x = 63,769,543.39
  5. Step 5: Solve for x
    x = 63,769,543.39/10,915.25
  6. Step 6: Final answer
    x = 5,842.25

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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.