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Finding the Fourth Proportional to 11,166.64, 16,741.32 and 5,326

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Solution

The fourth proportional to 11,166.64, 16,741.32 and 5,326 is: 7,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.64 : 16,741.32 = 5,326 : x
  2. Step 2: Convert to fraction form
    11,166.64/16,741.32 = 5,326/x
  3. Step 3: Cross multiply
    11,166.64x = 16,741.32 × 5,326
  4. Step 4: Simplify right side
    11,166.64x = 89,164,270.32
  5. Step 5: Solve for x
    x = 89,164,270.32/11,166.64
  6. Step 6: Final answer
    x = 7,984.88

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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.