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Finding the Fourth Proportional to 8,019.28, 12,021.63 and 5,416.75

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Solution

The fourth proportional to 8,019.28, 12,021.63 and 5,416.75 is: 8,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.28 : 12,021.63 = 5,416.75 : x
  2. Step 2: Convert to fraction form
    8,019.28/12,021.63 = 5,416.75/x
  3. Step 3: Cross multiply
    8,019.28x = 12,021.63 × 5,416.75
  4. Step 4: Simplify right side
    8,019.28x = 65,118,164.30
  5. Step 5: Solve for x
    x = 65,118,164.30/8,019.28
  6. Step 6: Final answer
    x = 8,120.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.