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Finding the Fourth Proportional to 8,097.12, 11,174.23 and 4,560.45

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Solution

The fourth proportional to 8,097.12, 11,174.23 and 4,560.45 is: 6,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.12 : 11,174.23 = 4,560.45 : x
  2. Step 2: Convert to fraction form
    8,097.12/11,174.23 = 4,560.45/x
  3. Step 3: Cross multiply
    8,097.12x = 11,174.23 × 4,560.45
  4. Step 4: Simplify right side
    8,097.12x = 50,959,517.20
  5. Step 5: Solve for x
    x = 50,959,517.20/8,097.12
  6. Step 6: Final answer
    x = 6,293.54

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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.