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Finding the Fourth Proportional to 11,456.34, 17,184.56 and 5,911.38

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Solution

The fourth proportional to 11,456.34, 17,184.56 and 5,911.38 is: 8,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.34 : 17,184.56 = 5,911.38 : x
  2. Step 2: Convert to fraction form
    11,456.34/17,184.56 = 5,911.38/x
  3. Step 3: Cross multiply
    11,456.34x = 17,184.56 × 5,911.38
  4. Step 4: Simplify right side
    11,456.34x = 101,584,434.74
  5. Step 5: Solve for x
    x = 101,584,434.74/11,456.34
  6. Step 6: Final answer
    x = 8,867.10

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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.