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Finding the Fourth Proportional to 10,700.20, 16,051.84 and 3,305.31

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Solution

The fourth proportional to 10,700.20, 16,051.84 and 3,305.31 is: 4,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.20 : 16,051.84 = 3,305.31 : x
  2. Step 2: Convert to fraction form
    10,700.20/16,051.84 = 3,305.31/x
  3. Step 3: Cross multiply
    10,700.20x = 16,051.84 × 3,305.31
  4. Step 4: Simplify right side
    10,700.20x = 53,056,238.81
  5. Step 5: Solve for x
    x = 53,056,238.81/10,700.20
  6. Step 6: Final answer
    x = 4,958.43

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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.