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Finding the Fourth Proportional to 8,211.36, 11,328.84 and 6,323.52

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Solution

The fourth proportional to 8,211.36, 11,328.84 and 6,323.52 is: 8,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.36 : 11,328.84 = 6,323.52 : x
  2. Step 2: Convert to fraction form
    8,211.36/11,328.84 = 6,323.52/x
  3. Step 3: Cross multiply
    8,211.36x = 11,328.84 × 6,323.52
  4. Step 4: Simplify right side
    8,211.36x = 71,638,146.32
  5. Step 5: Solve for x
    x = 71,638,146.32/8,211.36
  6. Step 6: Final answer
    x = 8,724.27

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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.