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Finding the Fourth Proportional to 11,798.53, 16,282.56 and 6,493.30

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Solution

The fourth proportional to 11,798.53, 16,282.56 and 6,493.30 is: 8,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.53 : 16,282.56 = 6,493.30 : x
  2. Step 2: Convert to fraction form
    11,798.53/16,282.56 = 6,493.30/x
  3. Step 3: Cross multiply
    11,798.53x = 16,282.56 × 6,493.30
  4. Step 4: Simplify right side
    11,798.53x = 105,727,546.85
  5. Step 5: Solve for x
    x = 105,727,546.85/11,798.53
  6. Step 6: Final answer
    x = 8,961.08

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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.