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Finding the Fourth Proportional to 10,668.50, 16,008.90 and 5,738.30

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Solution

The fourth proportional to 10,668.50, 16,008.90 and 5,738.30 is: 8,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.50 : 16,008.90 = 5,738.30 : x
  2. Step 2: Convert to fraction form
    10,668.50/16,008.90 = 5,738.30/x
  3. Step 3: Cross multiply
    10,668.50x = 16,008.90 × 5,738.30
  4. Step 4: Simplify right side
    10,668.50x = 91,863,870.87
  5. Step 5: Solve for x
    x = 91,863,870.87/10,668.50
  6. Step 6: Final answer
    x = 8,610.76

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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.