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Finding the Fourth Proportional to 11,811.49, 16,299.46 and 6,506.29

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Solution

The fourth proportional to 11,811.49, 16,299.46 and 6,506.29 is: 8,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.49 : 16,299.46 = 6,506.29 : x
  2. Step 2: Convert to fraction form
    11,811.49/16,299.46 = 6,506.29/x
  3. Step 3: Cross multiply
    11,811.49x = 16,299.46 × 6,506.29
  4. Step 4: Simplify right side
    11,811.49x = 106,049,042.11
  5. Step 5: Solve for x
    x = 106,049,042.11/11,811.49
  6. Step 6: Final answer
    x = 8,978.47

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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.