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Finding the Fourth Proportional to 13,078.60, 18,046.38 and 8,604.16

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Solution

The fourth proportional to 13,078.60, 18,046.38 and 8,604.16 is: 11,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.60 : 18,046.38 = 8,604.16 : x
  2. Step 2: Convert to fraction form
    13,078.60/18,046.38 = 8,604.16/x
  3. Step 3: Cross multiply
    13,078.60x = 18,046.38 × 8,604.16
  4. Step 4: Simplify right side
    13,078.60x = 155,273,940.94
  5. Step 5: Solve for x
    x = 155,273,940.94/13,078.60
  6. Step 6: Final answer
    x = 11,872.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.