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Finding the Fourth Proportional to 7,609.08, 11,414.34 and 2,991

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Solution

The fourth proportional to 7,609.08, 11,414.34 and 2,991 is: 4,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.08 : 11,414.34 = 2,991 : x
  2. Step 2: Convert to fraction form
    7,609.08/11,414.34 = 2,991/x
  3. Step 3: Cross multiply
    7,609.08x = 11,414.34 × 2,991
  4. Step 4: Simplify right side
    7,609.08x = 34,140,290.94
  5. Step 5: Solve for x
    x = 34,140,290.94/7,609.08
  6. Step 6: Final answer
    x = 4,486.78

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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.