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Finding the Fourth Proportional to 8,165.94, 11,271 and 4,631.22

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Solution

The fourth proportional to 8,165.94, 11,271 and 4,631.22 is: 6,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.94 : 11,271 = 4,631.22 : x
  2. Step 2: Convert to fraction form
    8,165.94/11,271 = 4,631.22/x
  3. Step 3: Cross multiply
    8,165.94x = 11,271 × 4,631.22
  4. Step 4: Simplify right side
    8,165.94x = 52,198,480.62
  5. Step 5: Solve for x
    x = 52,198,480.62/8,165.94
  6. Step 6: Final answer
    x = 6,392.22

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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.