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Finding the Fourth Proportional to 6,813.25, 10,223.90 and 3,693.18

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Solution

The fourth proportional to 6,813.25, 10,223.90 and 3,693.18 is: 5,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.25 : 10,223.90 = 3,693.18 : x
  2. Step 2: Convert to fraction form
    6,813.25/10,223.90 = 3,693.18/x
  3. Step 3: Cross multiply
    6,813.25x = 10,223.90 × 3,693.18
  4. Step 4: Simplify right side
    6,813.25x = 37,758,703.00
  5. Step 5: Solve for x
    x = 37,758,703.00/6,813.25
  6. Step 6: Final answer
    x = 5,541.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.