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Finding the Fourth Proportional to 7,835.92, 10,813.68 and 4,299.05

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Solution

The fourth proportional to 7,835.92, 10,813.68 and 4,299.05 is: 5,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.92 : 10,813.68 = 4,299.05 : x
  2. Step 2: Convert to fraction form
    7,835.92/10,813.68 = 4,299.05/x
  3. Step 3: Cross multiply
    7,835.92x = 10,813.68 × 4,299.05
  4. Step 4: Simplify right side
    7,835.92x = 46,488,578.04
  5. Step 5: Solve for x
    x = 46,488,578.04/7,835.92
  6. Step 6: Final answer
    x = 5,932.75

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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.