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Finding the Fourth Proportional to 8,097.60, 11,174.72 and 4,560.48

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Solution

The fourth proportional to 8,097.60, 11,174.72 and 4,560.48 is: 6,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.60 : 11,174.72 = 4,560.48 : x
  2. Step 2: Convert to fraction form
    8,097.60/11,174.72 = 4,560.48/x
  3. Step 3: Cross multiply
    8,097.60x = 11,174.72 × 4,560.48
  4. Step 4: Simplify right side
    8,097.60x = 50,962,087.07
  5. Step 5: Solve for x
    x = 50,962,087.07/8,097.60
  6. Step 6: Final answer
    x = 6,293.48

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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.