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Finding the Fourth Proportional to 8,053.32, 12,074.46 and 3,609.32

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Solution

The fourth proportional to 8,053.32, 12,074.46 and 3,609.32 is: 5,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.32 : 12,074.46 = 3,609.32 : x
  2. Step 2: Convert to fraction form
    8,053.32/12,074.46 = 3,609.32/x
  3. Step 3: Cross multiply
    8,053.32x = 12,074.46 × 3,609.32
  4. Step 4: Simplify right side
    8,053.32x = 43,580,589.97
  5. Step 5: Solve for x
    x = 43,580,589.97/8,053.32
  6. Step 6: Final answer
    x = 5,411.51

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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.