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Finding the Fourth Proportional to 11,689.56, 16,131.06 and 6,384.24

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Solution

The fourth proportional to 11,689.56, 16,131.06 and 6,384.24 is: 8,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.56 : 16,131.06 = 6,384.24 : x
  2. Step 2: Convert to fraction form
    11,689.56/16,131.06 = 6,384.24/x
  3. Step 3: Cross multiply
    11,689.56x = 16,131.06 × 6,384.24
  4. Step 4: Simplify right side
    11,689.56x = 102,984,558.49
  5. Step 5: Solve for x
    x = 102,984,558.49/11,689.56
  6. Step 6: Final answer
    x = 8,809.96

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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.