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Finding the Fourth Proportional to 8,064.10, 12,093.03 and 3,133.09

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Solution

The fourth proportional to 8,064.10, 12,093.03 and 3,133.09 is: 4,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.10 : 12,093.03 = 3,133.09 : x
  2. Step 2: Convert to fraction form
    8,064.10/12,093.03 = 3,133.09/x
  3. Step 3: Cross multiply
    8,064.10x = 12,093.03 × 3,133.09
  4. Step 4: Simplify right side
    8,064.10x = 37,888,551.36
  5. Step 5: Solve for x
    x = 37,888,551.36/8,064.10
  6. Step 6: Final answer
    x = 4,698.42

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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.