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Finding the Fourth Proportional to 11,614.26, 16,027.50 and 6,309

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Solution

The fourth proportional to 11,614.26, 16,027.50 and 6,309 is: 8,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.26 : 16,027.50 = 6,309 : x
  2. Step 2: Convert to fraction form
    11,614.26/16,027.50 = 6,309/x
  3. Step 3: Cross multiply
    11,614.26x = 16,027.50 × 6,309
  4. Step 4: Simplify right side
    11,614.26x = 101,117,497.50
  5. Step 5: Solve for x
    x = 101,117,497.50/11,614.26
  6. Step 6: Final answer
    x = 8,706.32

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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.