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Finding the Fourth Proportional to 11,881.91, 16,395.32 and 6,576.71

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Solution

The fourth proportional to 11,881.91, 16,395.32 and 6,576.71 is: 9,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.91 : 16,395.32 = 6,576.71 : x
  2. Step 2: Convert to fraction form
    11,881.91/16,395.32 = 6,576.71/x
  3. Step 3: Cross multiply
    11,881.91x = 16,395.32 × 6,576.71
  4. Step 4: Simplify right side
    11,881.91x = 107,827,318.26
  5. Step 5: Solve for x
    x = 107,827,318.26/11,881.91
  6. Step 6: Final answer
    x = 9,074.91

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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.