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Finding the Fourth Proportional to 8,096.44, 11,172.30 and 5,973.13

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Solution

The fourth proportional to 8,096.44, 11,172.30 and 5,973.13 is: 8,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.44 : 11,172.30 = 5,973.13 : x
  2. Step 2: Convert to fraction form
    8,096.44/11,172.30 = 5,973.13/x
  3. Step 3: Cross multiply
    8,096.44x = 11,172.30 × 5,973.13
  4. Step 4: Simplify right side
    8,096.44x = 66,733,600.30
  5. Step 5: Solve for x
    x = 66,733,600.30/8,096.44
  6. Step 6: Final answer
    x = 8,242.34

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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.