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Finding the Fourth Proportional to 8,647.38, 12,975.12 and 4,262.45

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Solution

The fourth proportional to 8,647.38, 12,975.12 and 4,262.45 is: 6,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.38 : 12,975.12 = 4,262.45 : x
  2. Step 2: Convert to fraction form
    8,647.38/12,975.12 = 4,262.45/x
  3. Step 3: Cross multiply
    8,647.38x = 12,975.12 × 4,262.45
  4. Step 4: Simplify right side
    8,647.38x = 55,305,735.37
  5. Step 5: Solve for x
    x = 55,305,735.37/8,647.38
  6. Step 6: Final answer
    x = 6,395.66

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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.