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Finding the Fourth Proportional to 7,230.27, 10,838.12 and 5,495.25

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Solution

The fourth proportional to 7,230.27, 10,838.12 and 5,495.25 is: 8,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.27 : 10,838.12 = 5,495.25 : x
  2. Step 2: Convert to fraction form
    7,230.27/10,838.12 = 5,495.25/x
  3. Step 3: Cross multiply
    7,230.27x = 10,838.12 × 5,495.25
  4. Step 4: Simplify right side
    7,230.27x = 59,558,151.45
  5. Step 5: Solve for x
    x = 59,558,151.45/7,230.27
  6. Step 6: Final answer
    x = 8,237.33

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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.