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Finding the Fourth Proportional to 7,826.09, 10,800 and 4,289.63

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Solution

The fourth proportional to 7,826.09, 10,800 and 4,289.63 is: 5,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.09 : 10,800 = 4,289.63 : x
  2. Step 2: Convert to fraction form
    7,826.09/10,800 = 4,289.63/x
  3. Step 3: Cross multiply
    7,826.09x = 10,800 × 4,289.63
  4. Step 4: Simplify right side
    7,826.09x = 46,327,950
  5. Step 5: Solve for x
    x = 46,327,950/7,826.09
  6. Step 6: Final answer
    x = 5,919.68

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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.