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Finding the Fourth Proportional to 7,664.60, 11,494.20 and 3,506.60

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Solution

The fourth proportional to 7,664.60, 11,494.20 and 3,506.60 is: 5,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.60 : 11,494.20 = 3,506.60 : x
  2. Step 2: Convert to fraction form
    7,664.60/11,494.20 = 3,506.60/x
  3. Step 3: Cross multiply
    7,664.60x = 11,494.20 × 3,506.60
  4. Step 4: Simplify right side
    7,664.60x = 40,305,561.72
  5. Step 5: Solve for x
    x = 40,305,561.72/7,664.60
  6. Step 6: Final answer
    x = 5,258.66

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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.