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Finding the Fourth Proportional to 8,419.36, 12,628.32 and 2,263.36

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Solution

The fourth proportional to 8,419.36, 12,628.32 and 2,263.36 is: 3,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.36 : 12,628.32 = 2,263.36 : x
  2. Step 2: Convert to fraction form
    8,419.36/12,628.32 = 2,263.36/x
  3. Step 3: Cross multiply
    8,419.36x = 12,628.32 × 2,263.36
  4. Step 4: Simplify right side
    8,419.36x = 28,582,434.36
  5. Step 5: Solve for x
    x = 28,582,434.36/8,419.36
  6. Step 6: Final answer
    x = 3,394.85

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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.