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Finding the Fourth Proportional to 10,728.44, 16,096.08 and 5,108.48

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Solution

The fourth proportional to 10,728.44, 16,096.08 and 5,108.48 is: 7,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.44 : 16,096.08 = 5,108.48 : x
  2. Step 2: Convert to fraction form
    10,728.44/16,096.08 = 5,108.48/x
  3. Step 3: Cross multiply
    10,728.44x = 16,096.08 × 5,108.48
  4. Step 4: Simplify right side
    10,728.44x = 82,226,502.76
  5. Step 5: Solve for x
    x = 82,226,502.76/10,728.44
  6. Step 6: Final answer
    x = 7,664.35

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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.