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Finding the Fourth Proportional to 10,705.20, 16,057.20 and 3,309.60

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Solution

The fourth proportional to 10,705.20, 16,057.20 and 3,309.60 is: 4,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.20 : 16,057.20 = 3,309.60 : x
  2. Step 2: Convert to fraction form
    10,705.20/16,057.20 = 3,309.60/x
  3. Step 3: Cross multiply
    10,705.20x = 16,057.20 × 3,309.60
  4. Step 4: Simplify right side
    10,705.20x = 53,142,909.12
  5. Step 5: Solve for x
    x = 53,142,909.12/10,705.20
  6. Step 6: Final answer
    x = 4,964.21

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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.