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Finding the Fourth Proportional to 7,362.37, 10,154.19 and 5,945.68

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Solution

The fourth proportional to 7,362.37, 10,154.19 and 5,945.68 is: 8,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.37 : 10,154.19 = 5,945.68 : x
  2. Step 2: Convert to fraction form
    7,362.37/10,154.19 = 5,945.68/x
  3. Step 3: Cross multiply
    7,362.37x = 10,154.19 × 5,945.68
  4. Step 4: Simplify right side
    7,362.37x = 60,373,564.40
  5. Step 5: Solve for x
    x = 60,373,564.40/7,362.37
  6. Step 6: Final answer
    x = 8,200.29

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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.