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Finding the Fourth Proportional to 8,021.64, 11,069.94 and 4,485.06

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Solution

The fourth proportional to 8,021.64, 11,069.94 and 4,485.06 is: 6,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.64 : 11,069.94 = 4,485.06 : x
  2. Step 2: Convert to fraction form
    8,021.64/11,069.94 = 4,485.06/x
  3. Step 3: Cross multiply
    8,021.64x = 11,069.94 × 4,485.06
  4. Step 4: Simplify right side
    8,021.64x = 49,649,345.10
  5. Step 5: Solve for x
    x = 49,649,345.10/8,021.64
  6. Step 6: Final answer
    x = 6,189.43

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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.