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Finding the Fourth Proportional to 10,020.72, 13,826.40 and 5,826.72

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Solution

The fourth proportional to 10,020.72, 13,826.40 and 5,826.72 is: 8,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.72 : 13,826.40 = 5,826.72 : x
  2. Step 2: Convert to fraction form
    10,020.72/13,826.40 = 5,826.72/x
  3. Step 3: Cross multiply
    10,020.72x = 13,826.40 × 5,826.72
  4. Step 4: Simplify right side
    10,020.72x = 80,562,561.41
  5. Step 5: Solve for x
    x = 80,562,561.41/10,020.72
  6. Step 6: Final answer
    x = 8,039.60

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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.