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Finding the Fourth Proportional to 7,594.92, 11,393.20 and 3,211.80

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Solution

The fourth proportional to 7,594.92, 11,393.20 and 3,211.80 is: 4,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.92 : 11,393.20 = 3,211.80 : x
  2. Step 2: Convert to fraction form
    7,594.92/11,393.20 = 3,211.80/x
  3. Step 3: Cross multiply
    7,594.92x = 11,393.20 × 3,211.80
  4. Step 4: Simplify right side
    7,594.92x = 36,592,679.76
  5. Step 5: Solve for x
    x = 36,592,679.76/7,594.92
  6. Step 6: Final answer
    x = 4,818.05

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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.