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Finding the Fourth Proportional to 8,549.65, 12,824.48 and 2,309.68

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Solution

The fourth proportional to 8,549.65, 12,824.48 and 2,309.68 is: 3,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.65 : 12,824.48 = 2,309.68 : x
  2. Step 2: Convert to fraction form
    8,549.65/12,824.48 = 2,309.68/x
  3. Step 3: Cross multiply
    8,549.65x = 12,824.48 × 2,309.68
  4. Step 4: Simplify right side
    8,549.65x = 29,620,399.68
  5. Step 5: Solve for x
    x = 29,620,399.68/8,549.65
  6. Step 6: Final answer
    x = 3,464.52

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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.