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Finding the Fourth Proportional to 8,096.00, 11,172.47 and 4,559.13

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Solution

The fourth proportional to 8,096.00, 11,172.47 and 4,559.13 is: 6,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.00 : 11,172.47 = 4,559.13 : x
  2. Step 2: Convert to fraction form
    8,096.00/11,172.47 = 4,559.13/x
  3. Step 3: Cross multiply
    8,096.00x = 11,172.47 × 4,559.13
  4. Step 4: Simplify right side
    8,096.00x = 50,936,720.36
  5. Step 5: Solve for x
    x = 50,936,720.36/8,096.00
  6. Step 6: Final answer
    x = 6,291.59

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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.