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Finding the Fourth Proportional to 8,018.40, 12,026.16 and 2,824.32

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Solution

The fourth proportional to 8,018.40, 12,026.16 and 2,824.32 is: 4,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,018.40 : 12,026.16 = 2,824.32 : x
  2. Step 2: Convert to fraction form
    8,018.40/12,026.16 = 2,824.32/x
  3. Step 3: Cross multiply
    8,018.40x = 12,026.16 × 2,824.32
  4. Step 4: Simplify right side
    8,018.40x = 33,965,724.21
  5. Step 5: Solve for x
    x = 33,965,724.21/8,018.40
  6. Step 6: Final answer
    x = 4,235.97

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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.