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Finding the Fourth Proportional to 11,616.21, 17,419.95 and 4,218.84

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Solution

The fourth proportional to 11,616.21, 17,419.95 and 4,218.84 is: 6,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.21 : 17,419.95 = 4,218.84 : x
  2. Step 2: Convert to fraction form
    11,616.21/17,419.95 = 4,218.84/x
  3. Step 3: Cross multiply
    11,616.21x = 17,419.95 × 4,218.84
  4. Step 4: Simplify right side
    11,616.21x = 73,491,981.86
  5. Step 5: Solve for x
    x = 73,491,981.86/11,616.21
  6. Step 6: Final answer
    x = 6,326.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.