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Finding the Fourth Proportional to 12,098.75, 16,696.28 and 6,793.57

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Solution

The fourth proportional to 12,098.75, 16,696.28 and 6,793.57 is: 9,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.75 : 16,696.28 = 6,793.57 : x
  2. Step 2: Convert to fraction form
    12,098.75/16,696.28 = 6,793.57/x
  3. Step 3: Cross multiply
    12,098.75x = 16,696.28 × 6,793.57
  4. Step 4: Simplify right side
    12,098.75x = 113,427,384.77
  5. Step 5: Solve for x
    x = 113,427,384.77/12,098.75
  6. Step 6: Final answer
    x = 9,375.14

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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.