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Finding the Fourth Proportional to 11,855.38, 17,784.10 and 3,090.28

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Solution

The fourth proportional to 11,855.38, 17,784.10 and 3,090.28 is: 4,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.38 : 17,784.10 = 3,090.28 : x
  2. Step 2: Convert to fraction form
    11,855.38/17,784.10 = 3,090.28/x
  3. Step 3: Cross multiply
    11,855.38x = 17,784.10 × 3,090.28
  4. Step 4: Simplify right side
    11,855.38x = 54,957,848.55
  5. Step 5: Solve for x
    x = 54,957,848.55/11,855.38
  6. Step 6: Final answer
    x = 4,635.69

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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.