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Finding the Fourth Proportional to 11,664.70, 17,487.14 and 5,428.34

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Solution

The fourth proportional to 11,664.70, 17,487.14 and 5,428.34 is: 8,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.70 : 17,487.14 = 5,428.34 : x
  2. Step 2: Convert to fraction form
    11,664.70/17,487.14 = 5,428.34/x
  3. Step 3: Cross multiply
    11,664.70x = 17,487.14 × 5,428.34
  4. Step 4: Simplify right side
    11,664.70x = 94,926,078.78
  5. Step 5: Solve for x
    x = 94,926,078.78/11,664.70
  6. Step 6: Final answer
    x = 8,137.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.