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Finding the Fourth Proportional to 11,162.49, 16,743.74 and 5,301.33

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Solution

The fourth proportional to 11,162.49, 16,743.74 and 5,301.33 is: 7,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.49 : 16,743.74 = 5,301.33 : x
  2. Step 2: Convert to fraction form
    11,162.49/16,743.74 = 5,301.33/x
  3. Step 3: Cross multiply
    11,162.49x = 16,743.74 × 5,301.33
  4. Step 4: Simplify right side
    11,162.49x = 88,764,064.67
  5. Step 5: Solve for x
    x = 88,764,064.67/11,162.49
  6. Step 6: Final answer
    x = 7,952.00

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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.