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Finding the Fourth Proportional to 11,717.33, 16,169.90 and 6,412.14

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Solution

The fourth proportional to 11,717.33, 16,169.90 and 6,412.14 is: 8,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.33 : 16,169.90 = 6,412.14 : x
  2. Step 2: Convert to fraction form
    11,717.33/16,169.90 = 6,412.14/x
  3. Step 3: Cross multiply
    11,717.33x = 16,169.90 × 6,412.14
  4. Step 4: Simplify right side
    11,717.33x = 103,683,678.62
  5. Step 5: Solve for x
    x = 103,683,678.62/11,717.33
  6. Step 6: Final answer
    x = 8,848.75

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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.