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Finding the Fourth Proportional to 11,872.62, 16,384.67 and 6,495.42

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Solution

The fourth proportional to 11,872.62, 16,384.67 and 6,495.42 is: 8,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.62 : 16,384.67 = 6,495.42 : x
  2. Step 2: Convert to fraction form
    11,872.62/16,384.67 = 6,495.42/x
  3. Step 3: Cross multiply
    11,872.62x = 16,384.67 × 6,495.42
  4. Step 4: Simplify right side
    11,872.62x = 106,425,280.73
  5. Step 5: Solve for x
    x = 106,425,280.73/11,872.62
  6. Step 6: Final answer
    x = 8,963.93

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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.