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Finding the Fourth Proportional to 8,389.62, 12,583.62 and 2,546.28

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Solution

The fourth proportional to 8,389.62, 12,583.62 and 2,546.28 is: 3,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.62 : 12,583.62 = 2,546.28 : x
  2. Step 2: Convert to fraction form
    8,389.62/12,583.62 = 2,546.28/x
  3. Step 3: Cross multiply
    8,389.62x = 12,583.62 × 2,546.28
  4. Step 4: Simplify right side
    8,389.62x = 32,041,419.93
  5. Step 5: Solve for x
    x = 32,041,419.93/8,389.62
  6. Step 6: Final answer
    x = 3,819.17

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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.