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Finding the Fourth Proportional to 8,686.56, 13,023.84 and 3,489.60

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Solution

The fourth proportional to 8,686.56, 13,023.84 and 3,489.60 is: 5,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.56 : 13,023.84 = 3,489.60 : x
  2. Step 2: Convert to fraction form
    8,686.56/13,023.84 = 3,489.60/x
  3. Step 3: Cross multiply
    8,686.56x = 13,023.84 × 3,489.60
  4. Step 4: Simplify right side
    8,686.56x = 45,447,992.06
  5. Step 5: Solve for x
    x = 45,447,992.06/8,686.56
  6. Step 6: Final answer
    x = 5,231.99

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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.