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Finding the Fourth Proportional to 11,768.46, 16,240.53 and 6,463.32

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Solution

The fourth proportional to 11,768.46, 16,240.53 and 6,463.32 is: 8,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.46 : 16,240.53 = 6,463.32 : x
  2. Step 2: Convert to fraction form
    11,768.46/16,240.53 = 6,463.32/x
  3. Step 3: Cross multiply
    11,768.46x = 16,240.53 × 6,463.32
  4. Step 4: Simplify right side
    11,768.46x = 104,967,742.36
  5. Step 5: Solve for x
    x = 104,967,742.36/11,768.46
  6. Step 6: Final answer
    x = 8,919.41

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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.