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Finding the Fourth Proportional to 12,604.52, 18,909.18 and 5,679

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Solution

The fourth proportional to 12,604.52, 18,909.18 and 5,679 is: 8,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.52 : 18,909.18 = 5,679 : x
  2. Step 2: Convert to fraction form
    12,604.52/18,909.18 = 5,679/x
  3. Step 3: Cross multiply
    12,604.52x = 18,909.18 × 5,679
  4. Step 4: Simplify right side
    12,604.52x = 107,385,233.22
  5. Step 5: Solve for x
    x = 107,385,233.22/12,604.52
  6. Step 6: Final answer
    x = 8,519.58

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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.