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Finding the Fourth Proportional to 7,209.53, 10,813.91 and 5,092.46

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Solution

The fourth proportional to 7,209.53, 10,813.91 and 5,092.46 is: 7,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.53 : 10,813.91 = 5,092.46 : x
  2. Step 2: Convert to fraction form
    7,209.53/10,813.91 = 5,092.46/x
  3. Step 3: Cross multiply
    7,209.53x = 10,813.91 × 5,092.46
  4. Step 4: Simplify right side
    7,209.53x = 55,069,404.12
  5. Step 5: Solve for x
    x = 55,069,404.12/7,209.53
  6. Step 6: Final answer
    x = 7,638.42

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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.