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Finding the Fourth Proportional to 8,354.44, 12,532.97 and 3,969.51

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Solution

The fourth proportional to 8,354.44, 12,532.97 and 3,969.51 is: 5,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.44 : 12,532.97 = 3,969.51 : x
  2. Step 2: Convert to fraction form
    8,354.44/12,532.97 = 3,969.51/x
  3. Step 3: Cross multiply
    8,354.44x = 12,532.97 × 3,969.51
  4. Step 4: Simplify right side
    8,354.44x = 49,749,749.74
  5. Step 5: Solve for x
    x = 49,749,749.74/8,354.44
  6. Step 6: Final answer
    x = 5,954.89

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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.