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Finding the Fourth Proportional to 12,011.50, 18,024.54 and 5,086

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Solution

The fourth proportional to 12,011.50, 18,024.54 and 5,086 is: 7,632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.50 : 18,024.54 = 5,086 : x
  2. Step 2: Convert to fraction form
    12,011.50/18,024.54 = 5,086/x
  3. Step 3: Cross multiply
    12,011.50x = 18,024.54 × 5,086
  4. Step 4: Simplify right side
    12,011.50x = 91,672,810.44
  5. Step 5: Solve for x
    x = 91,672,810.44/12,011.50
  6. Step 6: Final answer
    x = 7,632.09

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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.