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Finding the Fourth Proportional to 11,673.08, 16,108.56 and 6,368

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Solution

The fourth proportional to 11,673.08, 16,108.56 and 6,368 is: 8,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.08 : 16,108.56 = 6,368 : x
  2. Step 2: Convert to fraction form
    11,673.08/16,108.56 = 6,368/x
  3. Step 3: Cross multiply
    11,673.08x = 16,108.56 × 6,368
  4. Step 4: Simplify right side
    11,673.08x = 102,579,310.08
  5. Step 5: Solve for x
    x = 102,579,310.08/11,673.08
  6. Step 6: Final answer
    x = 8,787.68

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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.