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Finding the Fourth Proportional to 11,654.21, 16,083.97 and 7,116.64

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Solution

The fourth proportional to 11,654.21, 16,083.97 and 7,116.64 is: 9,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.21 : 16,083.97 = 7,116.64 : x
  2. Step 2: Convert to fraction form
    11,654.21/16,083.97 = 7,116.64/x
  3. Step 3: Cross multiply
    11,654.21x = 16,083.97 × 7,116.64
  4. Step 4: Simplify right side
    11,654.21x = 114,463,824.26
  5. Step 5: Solve for x
    x = 114,463,824.26/11,654.21
  6. Step 6: Final answer
    x = 9,821.67

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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.