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Finding the Fourth Proportional to 8,532.42, 11,770.20 and 5,881.20

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Solution

The fourth proportional to 8,532.42, 11,770.20 and 5,881.20 is: 8,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.42 : 11,770.20 = 5,881.20 : x
  2. Step 2: Convert to fraction form
    8,532.42/11,770.20 = 5,881.20/x
  3. Step 3: Cross multiply
    8,532.42x = 11,770.20 × 5,881.20
  4. Step 4: Simplify right side
    8,532.42x = 69,222,900.24
  5. Step 5: Solve for x
    x = 69,222,900.24/8,532.42
  6. Step 6: Final answer
    x = 8,112.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.