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Finding the Fourth Proportional to 11,917.65, 16,448.31 and 6,614.18

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Solution

The fourth proportional to 11,917.65, 16,448.31 and 6,614.18 is: 9,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.65 : 16,448.31 = 6,614.18 : x
  2. Step 2: Convert to fraction form
    11,917.65/16,448.31 = 6,614.18/x
  3. Step 3: Cross multiply
    11,917.65x = 16,448.31 × 6,614.18
  4. Step 4: Simplify right side
    11,917.65x = 108,792,000.79
  5. Step 5: Solve for x
    x = 108,792,000.79/11,917.65
  6. Step 6: Final answer
    x = 9,128.65

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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.