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Finding the Fourth Proportional to 7,712.76, 11,575.62 and 6,183.48

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Solution

The fourth proportional to 7,712.76, 11,575.62 and 6,183.48 is: 9,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.76 : 11,575.62 = 6,183.48 : x
  2. Step 2: Convert to fraction form
    7,712.76/11,575.62 = 6,183.48/x
  3. Step 3: Cross multiply
    7,712.76x = 11,575.62 × 6,183.48
  4. Step 4: Simplify right side
    7,712.76x = 71,577,614.76
  5. Step 5: Solve for x
    x = 71,577,614.76/7,712.76
  6. Step 6: Final answer
    x = 9,280.42

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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.