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Finding the Fourth Proportional to 7,652.07, 11,468.38 and 3,494.34

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Solution

The fourth proportional to 7,652.07, 11,468.38 and 3,494.34 is: 5,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.07 : 11,468.38 = 3,494.34 : x
  2. Step 2: Convert to fraction form
    7,652.07/11,468.38 = 3,494.34/x
  3. Step 3: Cross multiply
    7,652.07x = 11,468.38 × 3,494.34
  4. Step 4: Simplify right side
    7,652.07x = 40,074,418.97
  5. Step 5: Solve for x
    x = 40,074,418.97/7,652.07
  6. Step 6: Final answer
    x = 5,237.07

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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.