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Finding the Fourth Proportional to 8,286, 12,429.61 and 3,091.88

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Solution

The fourth proportional to 8,286, 12,429.61 and 3,091.88 is: 4,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286 : 12,429.61 = 3,091.88 : x
  2. Step 2: Convert to fraction form
    8,286/12,429.61 = 3,091.88/x
  3. Step 3: Cross multiply
    8,286x = 12,429.61 × 3,091.88
  4. Step 4: Simplify right side
    8,286x = 38,430,792.69
  5. Step 5: Solve for x
    x = 38,430,792.69/8,286
  6. Step 6: Final answer
    x = 4,638.04

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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.