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Finding the Fourth Proportional to 8,142.60, 12,214.35 and 2,299.68

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Solution

The fourth proportional to 8,142.60, 12,214.35 and 2,299.68 is: 3,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.60 : 12,214.35 = 2,299.68 : x
  2. Step 2: Convert to fraction form
    8,142.60/12,214.35 = 2,299.68/x
  3. Step 3: Cross multiply
    8,142.60x = 12,214.35 × 2,299.68
  4. Step 4: Simplify right side
    8,142.60x = 28,089,096.41
  5. Step 5: Solve for x
    x = 28,089,096.41/8,142.60
  6. Step 6: Final answer
    x = 3,449.65

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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.