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Finding the Fourth Proportional to 10,020.78, 13,826.16 and 5,826.60

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Solution

The fourth proportional to 10,020.78, 13,826.16 and 5,826.60 is: 8,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.78 : 13,826.16 = 5,826.60 : x
  2. Step 2: Convert to fraction form
    10,020.78/13,826.16 = 5,826.60/x
  3. Step 3: Cross multiply
    10,020.78x = 13,826.16 × 5,826.60
  4. Step 4: Simplify right side
    10,020.78x = 80,559,503.86
  5. Step 5: Solve for x
    x = 80,559,503.86/10,020.78
  6. Step 6: Final answer
    x = 8,039.24

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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.