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Finding the Fourth Proportional to 11,799.98, 16,283.36 and 6,493.77

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Solution

The fourth proportional to 11,799.98, 16,283.36 and 6,493.77 is: 8,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.98 : 16,283.36 = 6,493.77 : x
  2. Step 2: Convert to fraction form
    11,799.98/16,283.36 = 6,493.77/x
  3. Step 3: Cross multiply
    11,799.98x = 16,283.36 × 6,493.77
  4. Step 4: Simplify right side
    11,799.98x = 105,740,313.25
  5. Step 5: Solve for x
    x = 105,740,313.25/11,799.98
  6. Step 6: Final answer
    x = 8,961.06

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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.