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Finding the Fourth Proportional to 12,504.79, 17,255.97 and 6,838.44

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Solution

The fourth proportional to 12,504.79, 17,255.97 and 6,838.44 is: 9,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.79 : 17,255.97 = 6,838.44 : x
  2. Step 2: Convert to fraction form
    12,504.79/17,255.97 = 6,838.44/x
  3. Step 3: Cross multiply
    12,504.79x = 17,255.97 × 6,838.44
  4. Step 4: Simplify right side
    12,504.79x = 118,003,915.49
  5. Step 5: Solve for x
    x = 118,003,915.49/12,504.79
  6. Step 6: Final answer
    x = 9,436.70

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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.