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Finding the Fourth Proportional to 7,608.24, 11,408.40 and 2,862

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Solution

The fourth proportional to 7,608.24, 11,408.40 and 2,862 is: 4,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.24 : 11,408.40 = 2,862 : x
  2. Step 2: Convert to fraction form
    7,608.24/11,408.40 = 2,862/x
  3. Step 3: Cross multiply
    7,608.24x = 11,408.40 × 2,862
  4. Step 4: Simplify right side
    7,608.24x = 32,650,840.80
  5. Step 5: Solve for x
    x = 32,650,840.80/7,608.24
  6. Step 6: Final answer
    x = 4,291.51

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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.