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Finding the Fourth Proportional to 11,394, 17,091.64 and 3,186.64

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Solution

The fourth proportional to 11,394, 17,091.64 and 3,186.64 is: 4,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394 : 17,091.64 = 3,186.64 : x
  2. Step 2: Convert to fraction form
    11,394/17,091.64 = 3,186.64/x
  3. Step 3: Cross multiply
    11,394x = 17,091.64 × 3,186.64
  4. Step 4: Simplify right side
    11,394x = 54,464,903.69
  5. Step 5: Solve for x
    x = 54,464,903.69/11,394
  6. Step 6: Final answer
    x = 4,780.14

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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.