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Finding the Fourth Proportional to 11,475.74, 17,170.17 and 6,798.26

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Solution

The fourth proportional to 11,475.74, 17,170.17 and 6,798.26 is: 10,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.74 : 17,170.17 = 6,798.26 : x
  2. Step 2: Convert to fraction form
    11,475.74/17,170.17 = 6,798.26/x
  3. Step 3: Cross multiply
    11,475.74x = 17,170.17 × 6,798.26
  4. Step 4: Simplify right side
    11,475.74x = 116,727,279.90
  5. Step 5: Solve for x
    x = 116,727,279.90/11,475.74
  6. Step 6: Final answer
    x = 10,171.66

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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.