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Finding the Fourth Proportional to 10,885.86, 16,338.27 and 6,215.22

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Solution

The fourth proportional to 10,885.86, 16,338.27 and 6,215.22 is: 9,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.86 : 16,338.27 = 6,215.22 : x
  2. Step 2: Convert to fraction form
    10,885.86/16,338.27 = 6,215.22/x
  3. Step 3: Cross multiply
    10,885.86x = 16,338.27 × 6,215.22
  4. Step 4: Simplify right side
    10,885.86x = 101,545,942.47
  5. Step 5: Solve for x
    x = 101,545,942.47/10,885.86
  6. Step 6: Final answer
    x = 9,328.24

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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.