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Finding the Fourth Proportional to 8,109.44, 12,109.44 and 8,023.68

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Solution

The fourth proportional to 8,109.44, 12,109.44 and 8,023.68 is: 11,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.44 : 12,109.44 = 8,023.68 : x
  2. Step 2: Convert to fraction form
    8,109.44/12,109.44 = 8,023.68/x
  3. Step 3: Cross multiply
    8,109.44x = 12,109.44 × 8,023.68
  4. Step 4: Simplify right side
    8,109.44x = 97,162,271.54
  5. Step 5: Solve for x
    x = 97,162,271.54/8,109.44
  6. Step 6: Final answer
    x = 11,981.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.