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Finding the Fourth Proportional to 7,697.68, 11,546.96 and 2,432.85

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Solution

The fourth proportional to 7,697.68, 11,546.96 and 2,432.85 is: 3,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.68 : 11,546.96 = 2,432.85 : x
  2. Step 2: Convert to fraction form
    7,697.68/11,546.96 = 2,432.85/x
  3. Step 3: Cross multiply
    7,697.68x = 11,546.96 × 2,432.85
  4. Step 4: Simplify right side
    7,697.68x = 28,092,021.64
  5. Step 5: Solve for x
    x = 28,092,021.64/7,697.68
  6. Step 6: Final answer
    x = 3,649.41

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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.