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Finding the Fourth Proportional to 7,594.32, 11,393.01 and 3,211.77

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Solution

The fourth proportional to 7,594.32, 11,393.01 and 3,211.77 is: 4,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.32 : 11,393.01 = 3,211.77 : x
  2. Step 2: Convert to fraction form
    7,594.32/11,393.01 = 3,211.77/x
  3. Step 3: Cross multiply
    7,594.32x = 11,393.01 × 3,211.77
  4. Step 4: Simplify right side
    7,594.32x = 36,591,727.73
  5. Step 5: Solve for x
    x = 36,591,727.73/7,594.32
  6. Step 6: Final answer
    x = 4,818.30

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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.