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Finding the Fourth Proportional to 11,133.92, 16,674.38 and 6,444.05

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Solution

The fourth proportional to 11,133.92, 16,674.38 and 6,444.05 is: 9,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.92 : 16,674.38 = 6,444.05 : x
  2. Step 2: Convert to fraction form
    11,133.92/16,674.38 = 6,444.05/x
  3. Step 3: Cross multiply
    11,133.92x = 16,674.38 × 6,444.05
  4. Step 4: Simplify right side
    11,133.92x = 107,450,538.44
  5. Step 5: Solve for x
    x = 107,450,538.44/11,133.92
  6. Step 6: Final answer
    x = 9,650.74

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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.