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Finding the Fourth Proportional to 7,826.88, 10,800.74 and 4,290.24

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Solution

The fourth proportional to 7,826.88, 10,800.74 and 4,290.24 is: 5,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.88 : 10,800.74 = 4,290.24 : x
  2. Step 2: Convert to fraction form
    7,826.88/10,800.74 = 4,290.24/x
  3. Step 3: Cross multiply
    7,826.88x = 10,800.74 × 4,290.24
  4. Step 4: Simplify right side
    7,826.88x = 46,337,766.78
  5. Step 5: Solve for x
    x = 46,337,766.78/7,826.88
  6. Step 6: Final answer
    x = 5,920.34

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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.