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Finding the Fourth Proportional to 8,022.44, 12,029.36 and 4,465.68

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Solution

The fourth proportional to 8,022.44, 12,029.36 and 4,465.68 is: 6,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.44 : 12,029.36 = 4,465.68 : x
  2. Step 2: Convert to fraction form
    8,022.44/12,029.36 = 4,465.68/x
  3. Step 3: Cross multiply
    8,022.44x = 12,029.36 × 4,465.68
  4. Step 4: Simplify right side
    8,022.44x = 53,719,297.71
  5. Step 5: Solve for x
    x = 53,719,297.71/8,022.44
  6. Step 6: Final answer
    x = 6,696.13

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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.