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Finding the Fourth Proportional to 8,051.28, 12,021.84 and 7,212.96

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Solution

The fourth proportional to 8,051.28, 12,021.84 and 7,212.96 is: 10,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.28 : 12,021.84 = 7,212.96 : x
  2. Step 2: Convert to fraction form
    8,051.28/12,021.84 = 7,212.96/x
  3. Step 3: Cross multiply
    8,051.28x = 12,021.84 × 7,212.96
  4. Step 4: Simplify right side
    8,051.28x = 86,713,051.05
  5. Step 5: Solve for x
    x = 86,713,051.05/8,051.28
  6. Step 6: Final answer
    x = 10,770.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.