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Finding the Fourth Proportional to 7,652.34, 11,467.71 and 3,268.26

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Solution

The fourth proportional to 7,652.34, 11,467.71 and 3,268.26 is: 4,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.34 : 11,467.71 = 3,268.26 : x
  2. Step 2: Convert to fraction form
    7,652.34/11,467.71 = 3,268.26/x
  3. Step 3: Cross multiply
    7,652.34x = 11,467.71 × 3,268.26
  4. Step 4: Simplify right side
    7,652.34x = 37,479,457.88
  5. Step 5: Solve for x
    x = 37,479,457.88/7,652.34
  6. Step 6: Final answer
    x = 4,897.78

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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.