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Finding the Fourth Proportional to 7,664.49, 11,493.09 and 5,322.60

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Solution

The fourth proportional to 7,664.49, 11,493.09 and 5,322.60 is: 7,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.49 : 11,493.09 = 5,322.60 : x
  2. Step 2: Convert to fraction form
    7,664.49/11,493.09 = 5,322.60/x
  3. Step 3: Cross multiply
    7,664.49x = 11,493.09 × 5,322.60
  4. Step 4: Simplify right side
    7,664.49x = 61,173,120.83
  5. Step 5: Solve for x
    x = 61,173,120.83/7,664.49
  6. Step 6: Final answer
    x = 7,981.37

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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.