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Finding the Fourth Proportional to 11,914.05, 16,434.68 and 7,665.65

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Solution

The fourth proportional to 11,914.05, 16,434.68 and 7,665.65 is: 10,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.05 : 16,434.68 = 7,665.65 : x
  2. Step 2: Convert to fraction form
    11,914.05/16,434.68 = 7,665.65/x
  3. Step 3: Cross multiply
    11,914.05x = 16,434.68 × 7,665.65
  4. Step 4: Simplify right side
    11,914.05x = 125,982,504.74
  5. Step 5: Solve for x
    x = 125,982,504.74/11,914.05
  6. Step 6: Final answer
    x = 10,574.28

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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.