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Finding the Fourth Proportional to 12,102.57, 16,702.29 and 6,797.39

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Solution

The fourth proportional to 12,102.57, 16,702.29 and 6,797.39 is: 9,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.57 : 16,702.29 = 6,797.39 : x
  2. Step 2: Convert to fraction form
    12,102.57/16,702.29 = 6,797.39/x
  3. Step 3: Cross multiply
    12,102.57x = 16,702.29 × 6,797.39
  4. Step 4: Simplify right side
    12,102.57x = 113,531,895.51
  5. Step 5: Solve for x
    x = 113,531,895.51/12,102.57
  6. Step 6: Final answer
    x = 9,380.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.