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Finding the Fourth Proportional to 11,475.72, 17,213.60 and 6,278.76

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Solution

The fourth proportional to 11,475.72, 17,213.60 and 6,278.76 is: 9,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.72 : 17,213.60 = 6,278.76 : x
  2. Step 2: Convert to fraction form
    11,475.72/17,213.60 = 6,278.76/x
  3. Step 3: Cross multiply
    11,475.72x = 17,213.60 × 6,278.76
  4. Step 4: Simplify right side
    11,475.72x = 108,080,063.14
  5. Step 5: Solve for x
    x = 108,080,063.14/11,475.72
  6. Step 6: Final answer
    x = 9,418.15

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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.