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Finding the Fourth Proportional to 10,704.96, 16,056.96 and 3,309.12

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Solution

The fourth proportional to 10,704.96, 16,056.96 and 3,309.12 is: 4,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.96 : 16,056.96 = 3,309.12 : x
  2. Step 2: Convert to fraction form
    10,704.96/16,056.96 = 3,309.12/x
  3. Step 3: Cross multiply
    10,704.96x = 16,056.96 × 3,309.12
  4. Step 4: Simplify right side
    10,704.96x = 53,134,407.48
  5. Step 5: Solve for x
    x = 53,134,407.48/10,704.96
  6. Step 6: Final answer
    x = 4,963.53

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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.