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Finding the Fourth Proportional to 11,614.05, 16,022.25 and 6,895.59

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Solution

The fourth proportional to 11,614.05, 16,022.25 and 6,895.59 is: 9,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.05 : 16,022.25 = 6,895.59 : x
  2. Step 2: Convert to fraction form
    11,614.05/16,022.25 = 6,895.59/x
  3. Step 3: Cross multiply
    11,614.05x = 16,022.25 × 6,895.59
  4. Step 4: Simplify right side
    11,614.05x = 110,482,866.88
  5. Step 5: Solve for x
    x = 110,482,866.88/11,614.05
  6. Step 6: Final answer
    x = 9,512.86

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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.