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Finding the Fourth Proportional to 10,861.70, 16,281.74 and 6,172.00

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Solution

The fourth proportional to 10,861.70, 16,281.74 and 6,172.00 is: 9,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.70 : 16,281.74 = 6,172.00 : x
  2. Step 2: Convert to fraction form
    10,861.70/16,281.74 = 6,172.00/x
  3. Step 3: Cross multiply
    10,861.70x = 16,281.74 × 6,172.00
  4. Step 4: Simplify right side
    10,861.70x = 100,490,874.01
  5. Step 5: Solve for x
    x = 100,490,874.01/10,861.70
  6. Step 6: Final answer
    x = 9,251.86

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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.