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Finding the Fourth Proportional to 11,476.24, 17,170.92 and 6,798.76

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Solution

The fourth proportional to 11,476.24, 17,170.92 and 6,798.76 is: 10,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.24 : 17,170.92 = 6,798.76 : x
  2. Step 2: Convert to fraction form
    11,476.24/17,170.92 = 6,798.76/x
  3. Step 3: Cross multiply
    11,476.24x = 17,170.92 × 6,798.76
  4. Step 4: Simplify right side
    11,476.24x = 116,740,964.06
  5. Step 5: Solve for x
    x = 116,740,964.06/11,476.24
  6. Step 6: Final answer
    x = 10,172.41

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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.