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Finding the Fourth Proportional to 7,704.68, 11,558.37 and 3,322.31

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Solution

The fourth proportional to 7,704.68, 11,558.37 and 3,322.31 is: 4,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.68 : 11,558.37 = 3,322.31 : x
  2. Step 2: Convert to fraction form
    7,704.68/11,558.37 = 3,322.31/x
  3. Step 3: Cross multiply
    7,704.68x = 11,558.37 × 3,322.31
  4. Step 4: Simplify right side
    7,704.68x = 38,400,488.23
  5. Step 5: Solve for x
    x = 38,400,488.23/7,704.68
  6. Step 6: Final answer
    x = 4,984.05

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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.