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Finding the Fourth Proportional to 11,012.69, 16,521.74 and 5,162.46

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Solution

The fourth proportional to 11,012.69, 16,521.74 and 5,162.46 is: 7,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.69 : 16,521.74 = 5,162.46 : x
  2. Step 2: Convert to fraction form
    11,012.69/16,521.74 = 5,162.46/x
  3. Step 3: Cross multiply
    11,012.69x = 16,521.74 × 5,162.46
  4. Step 4: Simplify right side
    11,012.69x = 85,292,796.07
  5. Step 5: Solve for x
    x = 85,292,796.07/11,012.69
  6. Step 6: Final answer
    x = 7,744.96

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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.