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Finding the Fourth Proportional to 11,164.26, 16,749.24 and 7,883.76

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Solution

The fourth proportional to 11,164.26, 16,749.24 and 7,883.76 is: 11,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.26 : 16,749.24 = 7,883.76 : x
  2. Step 2: Convert to fraction form
    11,164.26/16,749.24 = 7,883.76/x
  3. Step 3: Cross multiply
    11,164.26x = 16,749.24 × 7,883.76
  4. Step 4: Simplify right side
    11,164.26x = 132,046,988.34
  5. Step 5: Solve for x
    x = 132,046,988.34/11,164.26
  6. Step 6: Final answer
    x = 11,827.65

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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.