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Finding the Fourth Proportional to 11,484.38, 17,226 and 3,164.47

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Solution

The fourth proportional to 11,484.38, 17,226 and 3,164.47 is: 4,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.38 : 17,226 = 3,164.47 : x
  2. Step 2: Convert to fraction form
    11,484.38/17,226 = 3,164.47/x
  3. Step 3: Cross multiply
    11,484.38x = 17,226 × 3,164.47
  4. Step 4: Simplify right side
    11,484.38x = 54,511,117.16
  5. Step 5: Solve for x
    x = 54,511,117.16/11,484.38
  6. Step 6: Final answer
    x = 4,746.54

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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.