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Finding the Fourth Proportional to 7,582.22, 11,375.22 and 2,902.59

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Solution

The fourth proportional to 7,582.22, 11,375.22 and 2,902.59 is: 4,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.22 : 11,375.22 = 2,902.59 : x
  2. Step 2: Convert to fraction form
    7,582.22/11,375.22 = 2,902.59/x
  3. Step 3: Cross multiply
    7,582.22x = 11,375.22 × 2,902.59
  4. Step 4: Simplify right side
    7,582.22x = 33,017,599.82
  5. Step 5: Solve for x
    x = 33,017,599.82/7,582.22
  6. Step 6: Final answer
    x = 4,354.61

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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.