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Finding the Fourth Proportional to 12,486.09, 17,212.92 and 7,702.83

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Solution

The fourth proportional to 12,486.09, 17,212.92 and 7,702.83 is: 10,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.09 : 17,212.92 = 7,702.83 : x
  2. Step 2: Convert to fraction form
    12,486.09/17,212.92 = 7,702.83/x
  3. Step 3: Cross multiply
    12,486.09x = 17,212.92 × 7,702.83
  4. Step 4: Simplify right side
    12,486.09x = 132,588,196.56
  5. Step 5: Solve for x
    x = 132,588,196.56/12,486.09
  6. Step 6: Final answer
    x = 10,618.87

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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.