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Finding the Fourth Proportional to 7,592.94, 11,393.66 and 3,213.68

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Solution

The fourth proportional to 7,592.94, 11,393.66 and 3,213.68 is: 4,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.94 : 11,393.66 = 3,213.68 : x
  2. Step 2: Convert to fraction form
    7,592.94/11,393.66 = 3,213.68/x
  3. Step 3: Cross multiply
    7,592.94x = 11,393.66 × 3,213.68
  4. Step 4: Simplify right side
    7,592.94x = 36,615,528.33
  5. Step 5: Solve for x
    x = 36,615,528.33/7,592.94
  6. Step 6: Final answer
    x = 4,822.31

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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.