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Finding the Fourth Proportional to 10,861.16, 16,288.50 and 3,839.88

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Solution

The fourth proportional to 10,861.16, 16,288.50 and 3,839.88 is: 5,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.16 : 16,288.50 = 3,839.88 : x
  2. Step 2: Convert to fraction form
    10,861.16/16,288.50 = 3,839.88/x
  3. Step 3: Cross multiply
    10,861.16x = 16,288.50 × 3,839.88
  4. Step 4: Simplify right side
    10,861.16x = 62,545,885.38
  5. Step 5: Solve for x
    x = 62,545,885.38/10,861.16
  6. Step 6: Final answer
    x = 5,758.67

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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.