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Finding the Fourth Proportional to 7,835.89, 10,813.83 and 4,299.10

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Solution

The fourth proportional to 7,835.89, 10,813.83 and 4,299.10 is: 5,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.89 : 10,813.83 = 4,299.10 : x
  2. Step 2: Convert to fraction form
    7,835.89/10,813.83 = 4,299.10/x
  3. Step 3: Cross multiply
    7,835.89x = 10,813.83 × 4,299.10
  4. Step 4: Simplify right side
    7,835.89x = 46,489,736.55
  5. Step 5: Solve for x
    x = 46,489,736.55/7,835.89
  6. Step 6: Final answer
    x = 5,932.92

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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.