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Finding the Fourth Proportional to 8,166.85, 11,270.25 and 4,630.06

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Solution

The fourth proportional to 8,166.85, 11,270.25 and 4,630.06 is: 6,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.85 : 11,270.25 = 4,630.06 : x
  2. Step 2: Convert to fraction form
    8,166.85/11,270.25 = 4,630.06/x
  3. Step 3: Cross multiply
    8,166.85x = 11,270.25 × 4,630.06
  4. Step 4: Simplify right side
    8,166.85x = 52,181,947.80
  5. Step 5: Solve for x
    x = 52,181,947.80/8,166.85
  6. Step 6: Final answer
    x = 6,389.48

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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.