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Finding the Fourth Proportional to 10,950.81, 16,399.89 and 6,256.62

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Solution

The fourth proportional to 10,950.81, 16,399.89 and 6,256.62 is: 9,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.81 : 16,399.89 = 6,256.62 : x
  2. Step 2: Convert to fraction form
    10,950.81/16,399.89 = 6,256.62/x
  3. Step 3: Cross multiply
    10,950.81x = 16,399.89 × 6,256.62
  4. Step 4: Simplify right side
    10,950.81x = 102,607,879.77
  5. Step 5: Solve for x
    x = 102,607,879.77/10,950.81
  6. Step 6: Final answer
    x = 9,369.89

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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.