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Finding the Fourth Proportional to 8,965.06, 13,447.65 and 3,121.65

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Solution

The fourth proportional to 8,965.06, 13,447.65 and 3,121.65 is: 4,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.06 : 13,447.65 = 3,121.65 : x
  2. Step 2: Convert to fraction form
    8,965.06/13,447.65 = 3,121.65/x
  3. Step 3: Cross multiply
    8,965.06x = 13,447.65 × 3,121.65
  4. Step 4: Simplify right side
    8,965.06x = 41,978,856.62
  5. Step 5: Solve for x
    x = 41,978,856.62/8,965.06
  6. Step 6: Final answer
    x = 4,682.50

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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.