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Finding the Fourth Proportional to 11,151.93, 16,706.34 and 6,206.61

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Solution

The fourth proportional to 11,151.93, 16,706.34 and 6,206.61 is: 9,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.93 : 16,706.34 = 6,206.61 : x
  2. Step 2: Convert to fraction form
    11,151.93/16,706.34 = 6,206.61/x
  3. Step 3: Cross multiply
    11,151.93x = 16,706.34 × 6,206.61
  4. Step 4: Simplify right side
    11,151.93x = 103,689,736.91
  5. Step 5: Solve for x
    x = 103,689,736.91/11,151.93
  6. Step 6: Final answer
    x = 9,297.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.