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Finding the Fourth Proportional to 7,609, 11,414.46 and 2,612.35

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Solution

The fourth proportional to 7,609, 11,414.46 and 2,612.35 is: 3,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609 : 11,414.46 = 2,612.35 : x
  2. Step 2: Convert to fraction form
    7,609/11,414.46 = 2,612.35/x
  3. Step 3: Cross multiply
    7,609x = 11,414.46 × 2,612.35
  4. Step 4: Simplify right side
    7,609x = 29,818,564.58
  5. Step 5: Solve for x
    x = 29,818,564.58/7,609
  6. Step 6: Final answer
    x = 3,918.85

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