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Finding the Fourth Proportional to 8,643.36, 11,929.62 and 5,622.26

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Solution

The fourth proportional to 8,643.36, 11,929.62 and 5,622.26 is: 7,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.36 : 11,929.62 = 5,622.26 : x
  2. Step 2: Convert to fraction form
    8,643.36/11,929.62 = 5,622.26/x
  3. Step 3: Cross multiply
    8,643.36x = 11,929.62 × 5,622.26
  4. Step 4: Simplify right side
    8,643.36x = 67,071,365.69
  5. Step 5: Solve for x
    x = 67,071,365.69/8,643.36
  6. Step 6: Final answer
    x = 7,759.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.