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Finding the Fourth Proportional to 28,546.74, 42,820.11 and 7,770.24

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Solution

The fourth proportional to 28,546.74, 42,820.11 and 7,770.24 is: 11,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,546.74 : 42,820.11 = 7,770.24 : x
  2. Step 2: Convert to fraction form
    28,546.74/42,820.11 = 7,770.24/x
  3. Step 3: Cross multiply
    28,546.74x = 42,820.11 × 7,770.24
  4. Step 4: Simplify right side
    28,546.74x = 332,722,531.53
  5. Step 5: Solve for x
    x = 332,722,531.53/28,546.74
  6. Step 6: Final answer
    x = 11,655.36

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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.