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Finding the Fourth Proportional to 11,892.25, 16,411.09 and 6,586.95

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Solution

The fourth proportional to 11,892.25, 16,411.09 and 6,586.95 is: 9,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.25 : 16,411.09 = 6,586.95 : x
  2. Step 2: Convert to fraction form
    11,892.25/16,411.09 = 6,586.95/x
  3. Step 3: Cross multiply
    11,892.25x = 16,411.09 × 6,586.95
  4. Step 4: Simplify right side
    11,892.25x = 108,099,029.28
  5. Step 5: Solve for x
    x = 108,099,029.28/11,892.25
  6. Step 6: Final answer
    x = 9,089.87

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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.