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Finding the Fourth Proportional to 10,804.92, 16,195.86 and 4,563.64

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Solution

The fourth proportional to 10,804.92, 16,195.86 and 4,563.64 is: 6,840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.92 : 16,195.86 = 4,563.64 : x
  2. Step 2: Convert to fraction form
    10,804.92/16,195.86 = 4,563.64/x
  3. Step 3: Cross multiply
    10,804.92x = 16,195.86 × 4,563.64
  4. Step 4: Simplify right side
    10,804.92x = 73,912,074.53
  5. Step 5: Solve for x
    x = 73,912,074.53/10,804.92
  6. Step 6: Final answer
    x = 6,840.59

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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.