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Finding the Fourth Proportional to 27,177.28, 40,765.92 and 7,456

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Solution

The fourth proportional to 27,177.28, 40,765.92 and 7,456 is: 11,184

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177.28 : 40,765.92 = 7,456 : x
  2. Step 2: Convert to fraction form
    27,177.28/40,765.92 = 7,456/x
  3. Step 3: Cross multiply
    27,177.28x = 40,765.92 × 7,456
  4. Step 4: Simplify right side
    27,177.28x = 303,950,699.52
  5. Step 5: Solve for x
    x = 303,950,699.52/27,177.28
  6. Step 6: Final answer
    x = 11,184

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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.