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Finding the Fourth Proportional to 11,614.25, 16,027.65 and 6,309.18

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Solution

The fourth proportional to 11,614.25, 16,027.65 and 6,309.18 is: 8,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.25 : 16,027.65 = 6,309.18 : x
  2. Step 2: Convert to fraction form
    11,614.25/16,027.65 = 6,309.18/x
  3. Step 3: Cross multiply
    11,614.25x = 16,027.65 × 6,309.18
  4. Step 4: Simplify right side
    11,614.25x = 101,121,328.83
  5. Step 5: Solve for x
    x = 101,121,328.83/11,614.25
  6. Step 6: Final answer
    x = 8,706.66

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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.