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Finding the Fourth Proportional to 10,806.65, 16,211.71 and 4,566.73

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Solution

The fourth proportional to 10,806.65, 16,211.71 and 4,566.73 is: 6,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.65 : 16,211.71 = 4,566.73 : x
  2. Step 2: Convert to fraction form
    10,806.65/16,211.71 = 4,566.73/x
  3. Step 3: Cross multiply
    10,806.65x = 16,211.71 × 4,566.73
  4. Step 4: Simplify right side
    10,806.65x = 74,034,409.93
  5. Step 5: Solve for x
    x = 74,034,409.93/10,806.65
  6. Step 6: Final answer
    x = 6,850.82

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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.