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Finding the Fourth Proportional to 8,389.64, 12,584.04 and 2,546.72

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Solution

The fourth proportional to 8,389.64, 12,584.04 and 2,546.72 is: 3,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.64 : 12,584.04 = 2,546.72 : x
  2. Step 2: Convert to fraction form
    8,389.64/12,584.04 = 2,546.72/x
  3. Step 3: Cross multiply
    8,389.64x = 12,584.04 × 2,546.72
  4. Step 4: Simplify right side
    8,389.64x = 32,048,026.35
  5. Step 5: Solve for x
    x = 32,048,026.35/8,389.64
  6. Step 6: Final answer
    x = 3,819.95

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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.