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Finding the Fourth Proportional to 11,581.99, 15,982.99 and 6,276.76

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Solution

The fourth proportional to 11,581.99, 15,982.99 and 6,276.76 is: 8,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.99 : 15,982.99 = 6,276.76 : x
  2. Step 2: Convert to fraction form
    11,581.99/15,982.99 = 6,276.76/x
  3. Step 3: Cross multiply
    11,581.99x = 15,982.99 × 6,276.76
  4. Step 4: Simplify right side
    11,581.99x = 100,321,336.66
  5. Step 5: Solve for x
    x = 100,321,336.66/11,581.99
  6. Step 6: Final answer
    x = 8,661.84

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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.