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Finding the Fourth Proportional to 11,666.56, 17,481.57 and 4,642.78

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Solution

The fourth proportional to 11,666.56, 17,481.57 and 4,642.78 is: 6,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.56 : 17,481.57 = 4,642.78 : x
  2. Step 2: Convert to fraction form
    11,666.56/17,481.57 = 4,642.78/x
  3. Step 3: Cross multiply
    11,666.56x = 17,481.57 × 4,642.78
  4. Step 4: Simplify right side
    11,666.56x = 81,163,083.56
  5. Step 5: Solve for x
    x = 81,163,083.56/11,666.56
  6. Step 6: Final answer
    x = 6,956.90

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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.