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Finding the Fourth Proportional to 6,686.89, 10,023.27 and 3,564.97

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Solution

The fourth proportional to 6,686.89, 10,023.27 and 3,564.97 is: 5,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.89 : 10,023.27 = 3,564.97 : x
  2. Step 2: Convert to fraction form
    6,686.89/10,023.27 = 3,564.97/x
  3. Step 3: Cross multiply
    6,686.89x = 10,023.27 × 3,564.97
  4. Step 4: Simplify right side
    6,686.89x = 35,732,656.85
  5. Step 5: Solve for x
    x = 35,732,656.85/6,686.89
  6. Step 6: Final answer
    x = 5,343.69

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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.