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Finding the Fourth Proportional to 7,309.44, 10,938.65 and 5,977.80

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Solution

The fourth proportional to 7,309.44, 10,938.65 and 5,977.80 is: 8,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.44 : 10,938.65 = 5,977.80 : x
  2. Step 2: Convert to fraction form
    7,309.44/10,938.65 = 5,977.80/x
  3. Step 3: Cross multiply
    7,309.44x = 10,938.65 × 5,977.80
  4. Step 4: Simplify right side
    7,309.44x = 65,389,032.08
  5. Step 5: Solve for x
    x = 65,389,032.08/7,309.44
  6. Step 6: Final answer
    x = 8,945.83

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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.