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Finding the Fourth Proportional to 8,553.24, 11,804.96 and 6,321.60

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Solution

The fourth proportional to 8,553.24, 11,804.96 and 6,321.60 is: 8,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.24 : 11,804.96 = 6,321.60 : x
  2. Step 2: Convert to fraction form
    8,553.24/11,804.96 = 6,321.60/x
  3. Step 3: Cross multiply
    8,553.24x = 11,804.96 × 6,321.60
  4. Step 4: Simplify right side
    8,553.24x = 74,626,203.53
  5. Step 5: Solve for x
    x = 74,626,203.53/8,553.24
  6. Step 6: Final answer
    x = 8,724.90

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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.