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Finding the Fourth Proportional to 11,717.34, 16,169.88 and 6,412.14

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Solution

The fourth proportional to 11,717.34, 16,169.88 and 6,412.14 is: 8,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.34 : 16,169.88 = 6,412.14 : x
  2. Step 2: Convert to fraction form
    11,717.34/16,169.88 = 6,412.14/x
  3. Step 3: Cross multiply
    11,717.34x = 16,169.88 × 6,412.14
  4. Step 4: Simplify right side
    11,717.34x = 103,683,534.34
  5. Step 5: Solve for x
    x = 103,683,534.34/11,717.34
  6. Step 6: Final answer
    x = 8,848.73

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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.