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Finding the Fourth Proportional to 8,519.58, 12,781.26 and 3,325.50

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Solution

The fourth proportional to 8,519.58, 12,781.26 and 3,325.50 is: 4,988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.58 : 12,781.26 = 3,325.50 : x
  2. Step 2: Convert to fraction form
    8,519.58/12,781.26 = 3,325.50/x
  3. Step 3: Cross multiply
    8,519.58x = 12,781.26 × 3,325.50
  4. Step 4: Simplify right side
    8,519.58x = 42,504,080.13
  5. Step 5: Solve for x
    x = 42,504,080.13/8,519.58
  6. Step 6: Final answer
    x = 4,988.99

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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.