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Finding the Fourth Proportional to 7,708.64, 11,568 and 3,092

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Solution

The fourth proportional to 7,708.64, 11,568 and 3,092 is: 4,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.64 : 11,568 = 3,092 : x
  2. Step 2: Convert to fraction form
    7,708.64/11,568 = 3,092/x
  3. Step 3: Cross multiply
    7,708.64x = 11,568 × 3,092
  4. Step 4: Simplify right side
    7,708.64x = 35,768,256
  5. Step 5: Solve for x
    x = 35,768,256/7,708.64
  6. Step 6: Final answer
    x = 4,640.02

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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.