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Finding the Fourth Proportional to 10,956.88, 16,437.30 and 3,166.12

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Solution

The fourth proportional to 10,956.88, 16,437.30 and 3,166.12 is: 4,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.88 : 16,437.30 = 3,166.12 : x
  2. Step 2: Convert to fraction form
    10,956.88/16,437.30 = 3,166.12/x
  3. Step 3: Cross multiply
    10,956.88x = 16,437.30 × 3,166.12
  4. Step 4: Simplify right side
    10,956.88x = 52,042,464.28
  5. Step 5: Solve for x
    x = 52,042,464.28/10,956.88
  6. Step 6: Final answer
    x = 4,749.75

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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.