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Finding the Fourth Proportional to 11,811.67, 16,298.74 and 6,774.50

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Solution

The fourth proportional to 11,811.67, 16,298.74 and 6,774.50 is: 9,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.67 : 16,298.74 = 6,774.50 : x
  2. Step 2: Convert to fraction form
    11,811.67/16,298.74 = 6,774.50/x
  3. Step 3: Cross multiply
    11,811.67x = 16,298.74 × 6,774.50
  4. Step 4: Simplify right side
    11,811.67x = 110,415,814.13
  5. Step 5: Solve for x
    x = 110,415,814.13/11,811.67
  6. Step 6: Final answer
    x = 9,348.03

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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.