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Finding the Fourth Proportional to 8,167.23, 11,269.80 and 4,630.23

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Solution

The fourth proportional to 8,167.23, 11,269.80 and 4,630.23 is: 6,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.23 : 11,269.80 = 4,630.23 : x
  2. Step 2: Convert to fraction form
    8,167.23/11,269.80 = 4,630.23/x
  3. Step 3: Cross multiply
    8,167.23x = 11,269.80 × 4,630.23
  4. Step 4: Simplify right side
    8,167.23x = 52,181,766.05
  5. Step 5: Solve for x
    x = 52,181,766.05/8,167.23
  6. Step 6: Final answer
    x = 6,389.16

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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.