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Finding the Fourth Proportional to 11,799.84, 16,283.76 and 6,494.96

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Solution

The fourth proportional to 11,799.84, 16,283.76 and 6,494.96 is: 8,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.84 : 16,283.76 = 6,494.96 : x
  2. Step 2: Convert to fraction form
    11,799.84/16,283.76 = 6,494.96/x
  3. Step 3: Cross multiply
    11,799.84x = 16,283.76 × 6,494.96
  4. Step 4: Simplify right side
    11,799.84x = 105,762,369.85
  5. Step 5: Solve for x
    x = 105,762,369.85/11,799.84
  6. Step 6: Final answer
    x = 8,963.03

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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.