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Finding the Fourth Proportional to 11,891.46, 16,411.11 and 6,586.77

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Solution

The fourth proportional to 11,891.46, 16,411.11 and 6,586.77 is: 9,090.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.46 : 16,411.11 = 6,586.77 : x
  2. Step 2: Convert to fraction form
    11,891.46/16,411.11 = 6,586.77/x
  3. Step 3: Cross multiply
    11,891.46x = 16,411.11 × 6,586.77
  4. Step 4: Simplify right side
    11,891.46x = 108,096,207.01
  5. Step 5: Solve for x
    x = 108,096,207.01/11,891.46
  6. Step 6: Final answer
    x = 9,090.24

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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.