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Finding the Fourth Proportional to 12,751.29, 17,596.80 and 7,162.29

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Solution

The fourth proportional to 12,751.29, 17,596.80 and 7,162.29 is: 9,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.29 : 17,596.80 = 7,162.29 : x
  2. Step 2: Convert to fraction form
    12,751.29/17,596.80 = 7,162.29/x
  3. Step 3: Cross multiply
    12,751.29x = 17,596.80 × 7,162.29
  4. Step 4: Simplify right side
    12,751.29x = 126,033,384.67
  5. Step 5: Solve for x
    x = 126,033,384.67/12,751.29
  6. Step 6: Final answer
    x = 9,883.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.