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Finding the Fourth Proportional to 11,687.88, 16,129.26 and 6,909.54

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Solution

The fourth proportional to 11,687.88, 16,129.26 and 6,909.54 is: 9,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.88 : 16,129.26 = 6,909.54 : x
  2. Step 2: Convert to fraction form
    11,687.88/16,129.26 = 6,909.54/x
  3. Step 3: Cross multiply
    11,687.88x = 16,129.26 × 6,909.54
  4. Step 4: Simplify right side
    11,687.88x = 111,445,732.59
  5. Step 5: Solve for x
    x = 111,445,732.59/11,687.88
  6. Step 6: Final answer
    x = 9,535.16

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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.