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Finding the Fourth Proportional to 8,164.89, 12,245.63 and 2,319.93

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Solution

The fourth proportional to 8,164.89, 12,245.63 and 2,319.93 is: 3,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.89 : 12,245.63 = 2,319.93 : x
  2. Step 2: Convert to fraction form
    8,164.89/12,245.63 = 2,319.93/x
  3. Step 3: Cross multiply
    8,164.89x = 12,245.63 × 2,319.93
  4. Step 4: Simplify right side
    8,164.89x = 28,408,992.81
  5. Step 5: Solve for x
    x = 28,408,992.81/8,164.89
  6. Step 6: Final answer
    x = 3,479.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.