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Finding the Fourth Proportional to 7,596.90, 11,392.61 and 3,214.66

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Solution

The fourth proportional to 7,596.90, 11,392.61 and 3,214.66 is: 4,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.90 : 11,392.61 = 3,214.66 : x
  2. Step 2: Convert to fraction form
    7,596.90/11,392.61 = 3,214.66/x
  3. Step 3: Cross multiply
    7,596.90x = 11,392.61 × 3,214.66
  4. Step 4: Simplify right side
    7,596.90x = 36,623,367.66
  5. Step 5: Solve for x
    x = 36,623,367.66/7,596.90
  6. Step 6: Final answer
    x = 4,820.83

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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.