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Finding the Fourth Proportional to 8,225.96, 12,327.80 and 3,781.08

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Solution

The fourth proportional to 8,225.96, 12,327.80 and 3,781.08 is: 5,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.96 : 12,327.80 = 3,781.08 : x
  2. Step 2: Convert to fraction form
    8,225.96/12,327.80 = 3,781.08/x
  3. Step 3: Cross multiply
    8,225.96x = 12,327.80 × 3,781.08
  4. Step 4: Simplify right side
    8,225.96x = 46,612,379.12
  5. Step 5: Solve for x
    x = 46,612,379.12/8,225.96
  6. Step 6: Final answer
    x = 5,666.50

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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.