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Finding the Fourth Proportional to 12,252.48, 18,380.08 and 5,678

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Solution

The fourth proportional to 12,252.48, 18,380.08 and 5,678 is: 8,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252.48 : 18,380.08 = 5,678 : x
  2. Step 2: Convert to fraction form
    12,252.48/18,380.08 = 5,678/x
  3. Step 3: Cross multiply
    12,252.48x = 18,380.08 × 5,678
  4. Step 4: Simplify right side
    12,252.48x = 104,362,094.24
  5. Step 5: Solve for x
    x = 104,362,094.24/12,252.48
  6. Step 6: Final answer
    x = 8,517.63

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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.