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Finding the Fourth Proportional to 11,020.16, 16,524.54 and 4,444.56

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Solution

The fourth proportional to 11,020.16, 16,524.54 and 4,444.56 is: 6,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,020.16 : 16,524.54 = 4,444.56 : x
  2. Step 2: Convert to fraction form
    11,020.16/16,524.54 = 4,444.56/x
  3. Step 3: Cross multiply
    11,020.16x = 16,524.54 × 4,444.56
  4. Step 4: Simplify right side
    11,020.16x = 73,444,309.50
  5. Step 5: Solve for x
    x = 73,444,309.50/11,020.16
  6. Step 6: Final answer
    x = 6,664.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.