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Finding the Fourth Proportional to 8,097, 11,174.93 and 4,560.90

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Solution

The fourth proportional to 8,097, 11,174.93 and 4,560.90 is: 6,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097 : 11,174.93 = 4,560.90 : x
  2. Step 2: Convert to fraction form
    8,097/11,174.93 = 4,560.90/x
  3. Step 3: Cross multiply
    8,097x = 11,174.93 × 4,560.90
  4. Step 4: Simplify right side
    8,097x = 50,967,738.24
  5. Step 5: Solve for x
    x = 50,967,738.24/8,097
  6. Step 6: Final answer
    x = 6,294.64

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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.