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Finding the Fourth Proportional to 11,711.73, 16,162.04 and 6,675.93

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Solution

The fourth proportional to 11,711.73, 16,162.04 and 6,675.93 is: 9,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.73 : 16,162.04 = 6,675.93 : x
  2. Step 2: Convert to fraction form
    11,711.73/16,162.04 = 6,675.93/x
  3. Step 3: Cross multiply
    11,711.73x = 16,162.04 × 6,675.93
  4. Step 4: Simplify right side
    11,711.73x = 107,896,696.50
  5. Step 5: Solve for x
    x = 107,896,696.50/11,711.73
  6. Step 6: Final answer
    x = 9,212.71

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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.