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Finding the Fourth Proportional to 7,835.98, 10,813.62 and 4,299.11

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Solution

The fourth proportional to 7,835.98, 10,813.62 and 4,299.11 is: 5,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.98 : 10,813.62 = 4,299.11 : x
  2. Step 2: Convert to fraction form
    7,835.98/10,813.62 = 4,299.11/x
  3. Step 3: Cross multiply
    7,835.98x = 10,813.62 × 4,299.11
  4. Step 4: Simplify right side
    7,835.98x = 46,488,981.13
  5. Step 5: Solve for x
    x = 46,488,981.13/7,835.98
  6. Step 6: Final answer
    x = 5,932.76

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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.