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Finding the Fourth Proportional to 7,826.87, 10,800.96 and 4,290.08

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Solution

The fourth proportional to 7,826.87, 10,800.96 and 4,290.08 is: 5,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.87 : 10,800.96 = 4,290.08 : x
  2. Step 2: Convert to fraction form
    7,826.87/10,800.96 = 4,290.08/x
  3. Step 3: Cross multiply
    7,826.87x = 10,800.96 × 4,290.08
  4. Step 4: Simplify right side
    7,826.87x = 46,336,993.39
  5. Step 5: Solve for x
    x = 46,336,993.39/7,826.87
  6. Step 6: Final answer
    x = 5,920.25

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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.