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Finding the Fourth Proportional to 8,652.94, 12,968.13 and 3,971.26

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Solution

The fourth proportional to 8,652.94, 12,968.13 and 3,971.26 is: 5,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.94 : 12,968.13 = 3,971.26 : x
  2. Step 2: Convert to fraction form
    8,652.94/12,968.13 = 3,971.26/x
  3. Step 3: Cross multiply
    8,652.94x = 12,968.13 × 3,971.26
  4. Step 4: Simplify right side
    8,652.94x = 51,499,815.94
  5. Step 5: Solve for x
    x = 51,499,815.94/8,652.94
  6. Step 6: Final answer
    x = 5,951.71

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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.