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Finding the Fourth Proportional to 10,884.33, 16,311.11 and 4,638.06

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Solution

The fourth proportional to 10,884.33, 16,311.11 and 4,638.06 is: 6,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.33 : 16,311.11 = 4,638.06 : x
  2. Step 2: Convert to fraction form
    10,884.33/16,311.11 = 4,638.06/x
  3. Step 3: Cross multiply
    10,884.33x = 16,311.11 × 4,638.06
  4. Step 4: Simplify right side
    10,884.33x = 75,651,883.66
  5. Step 5: Solve for x
    x = 75,651,883.66/10,884.33
  6. Step 6: Final answer
    x = 6,950.53

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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.