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Finding the Fourth Proportional to 7,771.48, 11,647.46 and 6,121.51

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Solution

The fourth proportional to 7,771.48, 11,647.46 and 6,121.51 is: 9,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.48 : 11,647.46 = 6,121.51 : x
  2. Step 2: Convert to fraction form
    7,771.48/11,647.46 = 6,121.51/x
  3. Step 3: Cross multiply
    7,771.48x = 11,647.46 × 6,121.51
  4. Step 4: Simplify right side
    7,771.48x = 71,300,029.05
  5. Step 5: Solve for x
    x = 71,300,029.05/7,771.48
  6. Step 6: Final answer
    x = 9,174.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.