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Finding the Fourth Proportional to 8,199.65, 12,292.16 and 3,004.31

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Solution

The fourth proportional to 8,199.65, 12,292.16 and 3,004.31 is: 4,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.65 : 12,292.16 = 3,004.31 : x
  2. Step 2: Convert to fraction form
    8,199.65/12,292.16 = 3,004.31/x
  3. Step 3: Cross multiply
    8,199.65x = 12,292.16 × 3,004.31
  4. Step 4: Simplify right side
    8,199.65x = 36,929,459.21
  5. Step 5: Solve for x
    x = 36,929,459.21/8,199.65
  6. Step 6: Final answer
    x = 4,503.78

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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.