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Finding the Fourth Proportional to 11,219.76, 15,471.83 and 7,861.50

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Solution

The fourth proportional to 11,219.76, 15,471.83 and 7,861.50 is: 10,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.76 : 15,471.83 = 7,861.50 : x
  2. Step 2: Convert to fraction form
    11,219.76/15,471.83 = 7,861.50/x
  3. Step 3: Cross multiply
    11,219.76x = 15,471.83 × 7,861.50
  4. Step 4: Simplify right side
    11,219.76x = 121,631,752.24
  5. Step 5: Solve for x
    x = 121,631,752.24/11,219.76
  6. Step 6: Final answer
    x = 10,840.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.