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Finding the Fourth Proportional to 12,091.81, 16,687.75 and 6,715.29

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Solution

The fourth proportional to 12,091.81, 16,687.75 and 6,715.29 is: 9,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.81 : 16,687.75 = 6,715.29 : x
  2. Step 2: Convert to fraction form
    12,091.81/16,687.75 = 6,715.29/x
  3. Step 3: Cross multiply
    12,091.81x = 16,687.75 × 6,715.29
  4. Step 4: Simplify right side
    12,091.81x = 112,063,012.37
  5. Step 5: Solve for x
    x = 112,063,012.37/12,091.81
  6. Step 6: Final answer
    x = 9,267.68

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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.