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Finding the Fourth Proportional to 11,777.28, 17,666.54 and 3,012.27

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Solution

The fourth proportional to 11,777.28, 17,666.54 and 3,012.27 is: 4,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.28 : 17,666.54 = 3,012.27 : x
  2. Step 2: Convert to fraction form
    11,777.28/17,666.54 = 3,012.27/x
  3. Step 3: Cross multiply
    11,777.28x = 17,666.54 × 3,012.27
  4. Step 4: Simplify right side
    11,777.28x = 53,216,373.38
  5. Step 5: Solve for x
    x = 53,216,373.38/11,777.28
  6. Step 6: Final answer
    x = 4,518.56

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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.