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Finding the Fourth Proportional to 6,889.16, 10,286.95 and 6,702.33

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Solution

The fourth proportional to 6,889.16, 10,286.95 and 6,702.33 is: 10,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.16 : 10,286.95 = 6,702.33 : x
  2. Step 2: Convert to fraction form
    6,889.16/10,286.95 = 6,702.33/x
  3. Step 3: Cross multiply
    6,889.16x = 10,286.95 × 6,702.33
  4. Step 4: Simplify right side
    6,889.16x = 68,946,500.03
  5. Step 5: Solve for x
    x = 68,946,500.03/6,889.16
  6. Step 6: Final answer
    x = 10,007.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.