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Finding the Fourth Proportional to 12,504.50, 18,759.28 and 5,579

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Solution

The fourth proportional to 12,504.50, 18,759.28 and 5,579 is: 8,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.50 : 18,759.28 = 5,579 : x
  2. Step 2: Convert to fraction form
    12,504.50/18,759.28 = 5,579/x
  3. Step 3: Cross multiply
    12,504.50x = 18,759.28 × 5,579
  4. Step 4: Simplify right side
    12,504.50x = 104,658,023.12
  5. Step 5: Solve for x
    x = 104,658,023.12/12,504.50
  6. Step 6: Final answer
    x = 8,369.63

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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.