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Finding the Fourth Proportional to 10,205.68, 15,313.22 and 4,660.72

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Solution

The fourth proportional to 10,205.68, 15,313.22 and 4,660.72 is: 6,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.68 : 15,313.22 = 4,660.72 : x
  2. Step 2: Convert to fraction form
    10,205.68/15,313.22 = 4,660.72/x
  3. Step 3: Cross multiply
    10,205.68x = 15,313.22 × 4,660.72
  4. Step 4: Simplify right side
    10,205.68x = 71,370,604.09
  5. Step 5: Solve for x
    x = 71,370,604.09/10,205.68
  6. Step 6: Final answer
    x = 6,993.23

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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.