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Finding the Fourth Proportional to 11,592.15, 15,997.11 and 6,286.98

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Solution

The fourth proportional to 11,592.15, 15,997.11 and 6,286.98 is: 8,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.15 : 15,997.11 = 6,286.98 : x
  2. Step 2: Convert to fraction form
    11,592.15/15,997.11 = 6,286.98/x
  3. Step 3: Cross multiply
    11,592.15x = 15,997.11 × 6,286.98
  4. Step 4: Simplify right side
    11,592.15x = 100,573,510.63
  5. Step 5: Solve for x
    x = 100,573,510.63/11,592.15
  6. Step 6: Final answer
    x = 8,676.00

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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.