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Finding the Fourth Proportional to 10,806.56, 16,212.07 and 4,566.58

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Solution

The fourth proportional to 10,806.56, 16,212.07 and 4,566.58 is: 6,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.56 : 16,212.07 = 4,566.58 : x
  2. Step 2: Convert to fraction form
    10,806.56/16,212.07 = 4,566.58/x
  3. Step 3: Cross multiply
    10,806.56x = 16,212.07 × 4,566.58
  4. Step 4: Simplify right side
    10,806.56x = 74,033,714.62
  5. Step 5: Solve for x
    x = 74,033,714.62/10,806.56
  6. Step 6: Final answer
    x = 6,850.81

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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.