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Finding the Fourth Proportional to 11,580.44, 15,980.46 and 6,863.96

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Solution

The fourth proportional to 11,580.44, 15,980.46 and 6,863.96 is: 9,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.44 : 15,980.46 = 6,863.96 : x
  2. Step 2: Convert to fraction form
    11,580.44/15,980.46 = 6,863.96/x
  3. Step 3: Cross multiply
    11,580.44x = 15,980.46 × 6,863.96
  4. Step 4: Simplify right side
    11,580.44x = 109,689,238.22
  5. Step 5: Solve for x
    x = 109,689,238.22/11,580.44
  6. Step 6: Final answer
    x = 9,471.94

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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.