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Finding the Fourth Proportional to 7,327.66, 10,992.00 and 2,945.11

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Solution

The fourth proportional to 7,327.66, 10,992.00 and 2,945.11 is: 4,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327.66 : 10,992.00 = 2,945.11 : x
  2. Step 2: Convert to fraction form
    7,327.66/10,992.00 = 2,945.11/x
  3. Step 3: Cross multiply
    7,327.66x = 10,992.00 × 2,945.11
  4. Step 4: Simplify right side
    7,327.66x = 32,372,628.44
  5. Step 5: Solve for x
    x = 32,372,628.44/7,327.66
  6. Step 6: Final answer
    x = 4,417.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.