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Finding the Fourth Proportional to 13,046.60, 18,004.38 and 7,078.28

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Solution

The fourth proportional to 13,046.60, 18,004.38 and 7,078.28 is: 9,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.60 : 18,004.38 = 7,078.28 : x
  2. Step 2: Convert to fraction form
    13,046.60/18,004.38 = 7,078.28/x
  3. Step 3: Cross multiply
    13,046.60x = 18,004.38 × 7,078.28
  4. Step 4: Simplify right side
    13,046.60x = 127,440,042.87
  5. Step 5: Solve for x
    x = 127,440,042.87/13,046.60
  6. Step 6: Final answer
    x = 9,768.07

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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.