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Finding the Fourth Proportional to 8,162.83, 12,258.60 and 8,045.96

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Solution

The fourth proportional to 8,162.83, 12,258.60 and 8,045.96 is: 12,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.83 : 12,258.60 = 8,045.96 : x
  2. Step 2: Convert to fraction form
    8,162.83/12,258.60 = 8,045.96/x
  3. Step 3: Cross multiply
    8,162.83x = 12,258.60 × 8,045.96
  4. Step 4: Simplify right side
    8,162.83x = 98,632,205.26
  5. Step 5: Solve for x
    x = 98,632,205.26/8,162.83
  6. Step 6: Final answer
    x = 12,083.09

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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.