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Finding the Fourth Proportional to 11,675.46, 17,513.07 and 6,996.78

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Solution

The fourth proportional to 11,675.46, 17,513.07 and 6,996.78 is: 10,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.46 : 17,513.07 = 6,996.78 : x
  2. Step 2: Convert to fraction form
    11,675.46/17,513.07 = 6,996.78/x
  3. Step 3: Cross multiply
    11,675.46x = 17,513.07 × 6,996.78
  4. Step 4: Simplify right side
    11,675.46x = 122,535,097.91
  5. Step 5: Solve for x
    x = 122,535,097.91/11,675.46
  6. Step 6: Final answer
    x = 10,495.10

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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.