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Finding the Fourth Proportional to 11,756.23, 16,223.04 and 6,450.94

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Solution

The fourth proportional to 11,756.23, 16,223.04 and 6,450.94 is: 8,901.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.23 : 16,223.04 = 6,450.94 : x
  2. Step 2: Convert to fraction form
    11,756.23/16,223.04 = 6,450.94/x
  3. Step 3: Cross multiply
    11,756.23x = 16,223.04 × 6,450.94
  4. Step 4: Simplify right side
    11,756.23x = 104,653,857.66
  5. Step 5: Solve for x
    x = 104,653,857.66/11,756.23
  6. Step 6: Final answer
    x = 8,901.99

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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.