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Finding the Fourth Proportional to 10,321.96, 15,485.15 and 3,206.05

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Solution

The fourth proportional to 10,321.96, 15,485.15 and 3,206.05 is: 4,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.96 : 15,485.15 = 3,206.05 : x
  2. Step 2: Convert to fraction form
    10,321.96/15,485.15 = 3,206.05/x
  3. Step 3: Cross multiply
    10,321.96x = 15,485.15 × 3,206.05
  4. Step 4: Simplify right side
    10,321.96x = 49,646,110.41
  5. Step 5: Solve for x
    x = 49,646,110.41/10,321.96
  6. Step 6: Final answer
    x = 4,809.76

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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.