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Finding the Fourth Proportional to 11,614.77, 16,028.13 and 6,309.45

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Solution

The fourth proportional to 11,614.77, 16,028.13 and 6,309.45 is: 8,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.77 : 16,028.13 = 6,309.45 : x
  2. Step 2: Convert to fraction form
    11,614.77/16,028.13 = 6,309.45/x
  3. Step 3: Cross multiply
    11,614.77x = 16,028.13 × 6,309.45
  4. Step 4: Simplify right side
    11,614.77x = 101,128,684.83
  5. Step 5: Solve for x
    x = 101,128,684.83/11,614.77
  6. Step 6: Final answer
    x = 8,706.90

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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.