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Finding the Fourth Proportional to 11,652.34, 17,478.78 and 3,861.76

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Solution

The fourth proportional to 11,652.34, 17,478.78 and 3,861.76 is: 5,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.34 : 17,478.78 = 3,861.76 : x
  2. Step 2: Convert to fraction form
    11,652.34/17,478.78 = 3,861.76/x
  3. Step 3: Cross multiply
    11,652.34x = 17,478.78 × 3,861.76
  4. Step 4: Simplify right side
    11,652.34x = 67,498,853.45
  5. Step 5: Solve for x
    x = 67,498,853.45/11,652.34
  6. Step 6: Final answer
    x = 5,792.73

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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.