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Finding the Fourth Proportional to 10,558.35, 15,826.08 and 6,863.23

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Solution

The fourth proportional to 10,558.35, 15,826.08 and 6,863.23 is: 10,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.35 : 15,826.08 = 6,863.23 : x
  2. Step 2: Convert to fraction form
    10,558.35/15,826.08 = 6,863.23/x
  3. Step 3: Cross multiply
    10,558.35x = 15,826.08 × 6,863.23
  4. Step 4: Simplify right side
    10,558.35x = 108,618,072.56
  5. Step 5: Solve for x
    x = 108,618,072.56/10,558.35
  6. Step 6: Final answer
    x = 10,287.41

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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.