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Finding the Fourth Proportional to 8,229.60, 12,342.62 and 2,607.72

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Solution

The fourth proportional to 8,229.60, 12,342.62 and 2,607.72 is: 3,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.60 : 12,342.62 = 2,607.72 : x
  2. Step 2: Convert to fraction form
    8,229.60/12,342.62 = 2,607.72/x
  3. Step 3: Cross multiply
    8,229.60x = 12,342.62 × 2,607.72
  4. Step 4: Simplify right side
    8,229.60x = 32,186,097.03
  5. Step 5: Solve for x
    x = 32,186,097.03/8,229.60
  6. Step 6: Final answer
    x = 3,911.02

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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.