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Finding the Fourth Proportional to 8,096.33, 11,172.67 and 4,559.47

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Solution

The fourth proportional to 8,096.33, 11,172.67 and 4,559.47 is: 6,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.33 : 11,172.67 = 4,559.47 : x
  2. Step 2: Convert to fraction form
    8,096.33/11,172.67 = 4,559.47/x
  3. Step 3: Cross multiply
    8,096.33x = 11,172.67 × 4,559.47
  4. Step 4: Simplify right side
    8,096.33x = 50,941,414.35
  5. Step 5: Solve for x
    x = 50,941,414.35/8,096.33
  6. Step 6: Final answer
    x = 6,291.91

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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.