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Finding the Fourth Proportional to 7,724.56, 11,590.44 and 4,604.44

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Solution

The fourth proportional to 7,724.56, 11,590.44 and 4,604.44 is: 6,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.56 : 11,590.44 = 4,604.44 : x
  2. Step 2: Convert to fraction form
    7,724.56/11,590.44 = 4,604.44/x
  3. Step 3: Cross multiply
    7,724.56x = 11,590.44 × 4,604.44
  4. Step 4: Simplify right side
    7,724.56x = 53,367,485.55
  5. Step 5: Solve for x
    x = 53,367,485.55/7,724.56
  6. Step 6: Final answer
    x = 6,908.81

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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.