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Finding the Fourth Proportional to 11,396.89, 15,734.28 and 8,686.82

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Solution

The fourth proportional to 11,396.89, 15,734.28 and 8,686.82 is: 11,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.89 : 15,734.28 = 8,686.82 : x
  2. Step 2: Convert to fraction form
    11,396.89/15,734.28 = 8,686.82/x
  3. Step 3: Cross multiply
    11,396.89x = 15,734.28 × 8,686.82
  4. Step 4: Simplify right side
    11,396.89x = 136,680,858.19
  5. Step 5: Solve for x
    x = 136,680,858.19/11,396.89
  6. Step 6: Final answer
    x = 11,992.83

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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.