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Finding the Fourth Proportional to 7,828.11, 10,813.14 and 5,835.21

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Solution

The fourth proportional to 7,828.11, 10,813.14 and 5,835.21 is: 8,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.11 : 10,813.14 = 5,835.21 : x
  2. Step 2: Convert to fraction form
    7,828.11/10,813.14 = 5,835.21/x
  3. Step 3: Cross multiply
    7,828.11x = 10,813.14 × 5,835.21
  4. Step 4: Simplify right side
    7,828.11x = 63,096,942.66
  5. Step 5: Solve for x
    x = 63,096,942.66/7,828.11
  6. Step 6: Final answer
    x = 8,060.30

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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.