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Finding the Fourth Proportional to 7,826.64, 10,800.72 and 4,289.80

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Solution

The fourth proportional to 7,826.64, 10,800.72 and 4,289.80 is: 5,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.64 : 10,800.72 = 4,289.80 : x
  2. Step 2: Convert to fraction form
    7,826.64/10,800.72 = 4,289.80/x
  3. Step 3: Cross multiply
    7,826.64x = 10,800.72 × 4,289.80
  4. Step 4: Simplify right side
    7,826.64x = 46,332,928.66
  5. Step 5: Solve for x
    x = 46,332,928.66/7,826.64
  6. Step 6: Final answer
    x = 5,919.90

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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.