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Finding the Fourth Proportional to 8,574.44, 11,836.77 and 6,450.78

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Solution

The fourth proportional to 8,574.44, 11,836.77 and 6,450.78 is: 8,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.44 : 11,836.77 = 6,450.78 : x
  2. Step 2: Convert to fraction form
    8,574.44/11,836.77 = 6,450.78/x
  3. Step 3: Cross multiply
    8,574.44x = 11,836.77 × 6,450.78
  4. Step 4: Simplify right side
    8,574.44x = 76,356,399.18
  5. Step 5: Solve for x
    x = 76,356,399.18/8,574.44
  6. Step 6: Final answer
    x = 8,905.12

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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.