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Finding the Fourth Proportional to 11,614.15, 16,027.51 and 6,308.97

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Solution

The fourth proportional to 11,614.15, 16,027.51 and 6,308.97 is: 8,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.15 : 16,027.51 = 6,308.97 : x
  2. Step 2: Convert to fraction form
    11,614.15/16,027.51 = 6,308.97/x
  3. Step 3: Cross multiply
    11,614.15x = 16,027.51 × 6,308.97
  4. Step 4: Simplify right side
    11,614.15x = 101,117,079.76
  5. Step 5: Solve for x
    x = 101,117,079.76/11,614.15
  6. Step 6: Final answer
    x = 8,706.37

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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.