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Finding the Fourth Proportional to 8,723.14, 13,074.28 and 3,169.98

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Solution

The fourth proportional to 8,723.14, 13,074.28 and 3,169.98 is: 4,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.14 : 13,074.28 = 3,169.98 : x
  2. Step 2: Convert to fraction form
    8,723.14/13,074.28 = 3,169.98/x
  3. Step 3: Cross multiply
    8,723.14x = 13,074.28 × 3,169.98
  4. Step 4: Simplify right side
    8,723.14x = 41,445,214.04
  5. Step 5: Solve for x
    x = 41,445,214.04/8,723.14
  6. Step 6: Final answer
    x = 4,751.18

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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.