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Finding the Fourth Proportional to 8,022.24, 11,070.84 and 4,485.84

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Solution

The fourth proportional to 8,022.24, 11,070.84 and 4,485.84 is: 6,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.24 : 11,070.84 = 4,485.84 : x
  2. Step 2: Convert to fraction form
    8,022.24/11,070.84 = 4,485.84/x
  3. Step 3: Cross multiply
    8,022.24x = 11,070.84 × 4,485.84
  4. Step 4: Simplify right side
    8,022.24x = 49,662,016.91
  5. Step 5: Solve for x
    x = 49,662,016.91/8,022.24
  6. Step 6: Final answer
    x = 6,190.54

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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.