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Finding the Fourth Proportional to 12,387.50, 18,583.68 and 5,462

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Solution

The fourth proportional to 12,387.50, 18,583.68 and 5,462 is: 8,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387.50 : 18,583.68 = 5,462 : x
  2. Step 2: Convert to fraction form
    12,387.50/18,583.68 = 5,462/x
  3. Step 3: Cross multiply
    12,387.50x = 18,583.68 × 5,462
  4. Step 4: Simplify right side
    12,387.50x = 101,504,060.16
  5. Step 5: Solve for x
    x = 101,504,060.16/12,387.50
  6. Step 6: Final answer
    x = 8,194.07

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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.