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Finding the Fourth Proportional to 10,302.96, 14,217.21 and 5,826.09

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Solution

The fourth proportional to 10,302.96, 14,217.21 and 5,826.09 is: 8,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.96 : 14,217.21 = 5,826.09 : x
  2. Step 2: Convert to fraction form
    10,302.96/14,217.21 = 5,826.09/x
  3. Step 3: Cross multiply
    10,302.96x = 14,217.21 × 5,826.09
  4. Step 4: Simplify right side
    10,302.96x = 82,830,745.01
  5. Step 5: Solve for x
    x = 82,830,745.01/10,302.96
  6. Step 6: Final answer
    x = 8,039.51

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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.