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Finding the Fourth Proportional to 7,723.62, 11,586.04 and 3,043.31

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Solution

The fourth proportional to 7,723.62, 11,586.04 and 3,043.31 is: 4,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.62 : 11,586.04 = 3,043.31 : x
  2. Step 2: Convert to fraction form
    7,723.62/11,586.04 = 3,043.31/x
  3. Step 3: Cross multiply
    7,723.62x = 11,586.04 × 3,043.31
  4. Step 4: Simplify right side
    7,723.62x = 35,259,845.85
  5. Step 5: Solve for x
    x = 35,259,845.85/7,723.62
  6. Step 6: Final answer
    x = 4,565.20

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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.