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Finding the Fourth Proportional to 7,826.25, 10,800.23 and 4,289.48

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Solution

The fourth proportional to 7,826.25, 10,800.23 and 4,289.48 is: 5,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.25 : 10,800.23 = 4,289.48 : x
  2. Step 2: Convert to fraction form
    7,826.25/10,800.23 = 4,289.48/x
  3. Step 3: Cross multiply
    7,826.25x = 10,800.23 × 4,289.48
  4. Step 4: Simplify right side
    7,826.25x = 46,327,295.13
  5. Step 5: Solve for x
    x = 46,327,295.13/7,826.25
  6. Step 6: Final answer
    x = 5,919.48

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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.