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Finding the Fourth Proportional to 11,799.08, 16,282.85 and 6,494.01

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Solution

The fourth proportional to 11,799.08, 16,282.85 and 6,494.01 is: 8,961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.08 : 16,282.85 = 6,494.01 : x
  2. Step 2: Convert to fraction form
    11,799.08/16,282.85 = 6,494.01/x
  3. Step 3: Cross multiply
    11,799.08x = 16,282.85 × 6,494.01
  4. Step 4: Simplify right side
    11,799.08x = 105,740,897.20
  5. Step 5: Solve for x
    x = 105,740,897.20/11,799.08
  6. Step 6: Final answer
    x = 8,961.79

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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.