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Finding the Fourth Proportional to 7,708.00, 11,546.48 and 3,542.22

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Solution

The fourth proportional to 7,708.00, 11,546.48 and 3,542.22 is: 5,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.00 : 11,546.48 = 3,542.22 : x
  2. Step 2: Convert to fraction form
    7,708.00/11,546.48 = 3,542.22/x
  3. Step 3: Cross multiply
    7,708.00x = 11,546.48 × 3,542.22
  4. Step 4: Simplify right side
    7,708.00x = 40,900,167.96
  5. Step 5: Solve for x
    x = 40,900,167.96/7,708.00
  6. Step 6: Final answer
    x = 5,306.20

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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.