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Finding the Fourth Proportional to 11,440.74, 17,146.98 and 6,756

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Solution

The fourth proportional to 11,440.74, 17,146.98 and 6,756 is: 10,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.74 : 17,146.98 = 6,756 : x
  2. Step 2: Convert to fraction form
    11,440.74/17,146.98 = 6,756/x
  3. Step 3: Cross multiply
    11,440.74x = 17,146.98 × 6,756
  4. Step 4: Simplify right side
    11,440.74x = 115,844,996.88
  5. Step 5: Solve for x
    x = 115,844,996.88/11,440.74
  6. Step 6: Final answer
    x = 10,125.66

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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.