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Finding the Fourth Proportional to 8,493.36, 12,745.20 and 5,369.06

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Solution

The fourth proportional to 8,493.36, 12,745.20 and 5,369.06 is: 8,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.36 : 12,745.20 = 5,369.06 : x
  2. Step 2: Convert to fraction form
    8,493.36/12,745.20 = 5,369.06/x
  3. Step 3: Cross multiply
    8,493.36x = 12,745.20 × 5,369.06
  4. Step 4: Simplify right side
    8,493.36x = 68,429,743.51
  5. Step 5: Solve for x
    x = 68,429,743.51/8,493.36
  6. Step 6: Final answer
    x = 8,056.85

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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.