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Finding the Fourth Proportional to 7,835.67, 10,813.23 and 4,299.08

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Solution

The fourth proportional to 7,835.67, 10,813.23 and 4,299.08 is: 5,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.67 : 10,813.23 = 4,299.08 : x
  2. Step 2: Convert to fraction form
    7,835.67/10,813.23 = 4,299.08/x
  3. Step 3: Cross multiply
    7,835.67x = 10,813.23 × 4,299.08
  4. Step 4: Simplify right side
    7,835.67x = 46,486,886.76
  5. Step 5: Solve for x
    x = 46,486,886.76/7,835.67
  6. Step 6: Final answer
    x = 5,932.73

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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.