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Finding the Fourth Proportional to 11,891.31, 16,409.77 and 6,586.17

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Solution

The fourth proportional to 11,891.31, 16,409.77 and 6,586.17 is: 9,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.31 : 16,409.77 = 6,586.17 : x
  2. Step 2: Convert to fraction form
    11,891.31/16,409.77 = 6,586.17/x
  3. Step 3: Cross multiply
    11,891.31x = 16,409.77 × 6,586.17
  4. Step 4: Simplify right side
    11,891.31x = 108,077,534.88
  5. Step 5: Solve for x
    x = 108,077,534.88/11,891.31
  6. Step 6: Final answer
    x = 9,088.78

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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.