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Finding the Fourth Proportional to 11,612.26, 16,026.96 and 6,576.76

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Solution

The fourth proportional to 11,612.26, 16,026.96 and 6,576.76 is: 9,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.26 : 16,026.96 = 6,576.76 : x
  2. Step 2: Convert to fraction form
    11,612.26/16,026.96 = 6,576.76/x
  3. Step 3: Cross multiply
    11,612.26x = 16,026.96 × 6,576.76
  4. Step 4: Simplify right side
    11,612.26x = 105,405,469.45
  5. Step 5: Solve for x
    x = 105,405,469.45/11,612.26
  6. Step 6: Final answer
    x = 9,077.08

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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.