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Finding the Fourth Proportional to 11,097.38, 16,648.50 and 4,171.88

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Solution

The fourth proportional to 11,097.38, 16,648.50 and 4,171.88 is: 6,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.38 : 16,648.50 = 4,171.88 : x
  2. Step 2: Convert to fraction form
    11,097.38/16,648.50 = 4,171.88/x
  3. Step 3: Cross multiply
    11,097.38x = 16,648.50 × 4,171.88
  4. Step 4: Simplify right side
    11,097.38x = 69,455,460.94
  5. Step 5: Solve for x
    x = 69,455,460.94/11,097.38
  6. Step 6: Final answer
    x = 6,258.73

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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.