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Finding the Fourth Proportional to 6,813.28, 10,223.34 and 2,656

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Solution

The fourth proportional to 6,813.28, 10,223.34 and 2,656 is: 3,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.28 : 10,223.34 = 2,656 : x
  2. Step 2: Convert to fraction form
    6,813.28/10,223.34 = 2,656/x
  3. Step 3: Cross multiply
    6,813.28x = 10,223.34 × 2,656
  4. Step 4: Simplify right side
    6,813.28x = 27,153,191.04
  5. Step 5: Solve for x
    x = 27,153,191.04/6,813.28
  6. Step 6: Final answer
    x = 3,985.33

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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.