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Finding the Fourth Proportional to 8,162.69, 12,245.06 and 2,825.40

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Solution

The fourth proportional to 8,162.69, 12,245.06 and 2,825.40 is: 4,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.69 : 12,245.06 = 2,825.40 : x
  2. Step 2: Convert to fraction form
    8,162.69/12,245.06 = 2,825.40/x
  3. Step 3: Cross multiply
    8,162.69x = 12,245.06 × 2,825.40
  4. Step 4: Simplify right side
    8,162.69x = 34,597,199.59
  5. Step 5: Solve for x
    x = 34,597,199.59/8,162.69
  6. Step 6: Final answer
    x = 4,238.45

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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.