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Finding the Fourth Proportional to 13,078.28, 18,043.92 and 7,412.58

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Solution

The fourth proportional to 13,078.28, 18,043.92 and 7,412.58 is: 10,227.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.28 : 18,043.92 = 7,412.58 : x
  2. Step 2: Convert to fraction form
    13,078.28/18,043.92 = 7,412.58/x
  3. Step 3: Cross multiply
    13,078.28x = 18,043.92 × 7,412.58
  4. Step 4: Simplify right side
    13,078.28x = 133,752,000.51
  5. Step 5: Solve for x
    x = 133,752,000.51/13,078.28
  6. Step 6: Final answer
    x = 10,227.03

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