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Finding the Fourth Proportional to 7,664.56, 11,486.20 and 3,494.37

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Solution

The fourth proportional to 7,664.56, 11,486.20 and 3,494.37 is: 5,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.56 : 11,486.20 = 3,494.37 : x
  2. Step 2: Convert to fraction form
    7,664.56/11,486.20 = 3,494.37/x
  3. Step 3: Cross multiply
    7,664.56x = 11,486.20 × 3,494.37
  4. Step 4: Simplify right side
    7,664.56x = 40,137,032.69
  5. Step 5: Solve for x
    x = 40,137,032.69/7,664.56
  6. Step 6: Final answer
    x = 5,236.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.