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Finding the Fourth Proportional to 7,826.67, 10,804.19 and 4,682.25

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Solution

The fourth proportional to 7,826.67, 10,804.19 and 4,682.25 is: 6,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.67 : 10,804.19 = 4,682.25 : x
  2. Step 2: Convert to fraction form
    7,826.67/10,804.19 = 4,682.25/x
  3. Step 3: Cross multiply
    7,826.67x = 10,804.19 × 4,682.25
  4. Step 4: Simplify right side
    7,826.67x = 50,587,895.22
  5. Step 5: Solve for x
    x = 50,587,895.22/7,826.67
  6. Step 6: Final answer
    x = 6,463.53

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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.