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Finding the Fourth Proportional to 11,881.46, 16,396.76 and 6,576.77

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Solution

The fourth proportional to 11,881.46, 16,396.76 and 6,576.77 is: 9,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.46 : 16,396.76 = 6,576.77 : x
  2. Step 2: Convert to fraction form
    11,881.46/16,396.76 = 6,576.77/x
  3. Step 3: Cross multiply
    11,881.46x = 16,396.76 × 6,576.77
  4. Step 4: Simplify right side
    11,881.46x = 107,837,719.27
  5. Step 5: Solve for x
    x = 107,837,719.27/11,881.46
  6. Step 6: Final answer
    x = 9,076.13

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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.