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Finding the Fourth Proportional to 10,238.73, 15,354.45 and 3,663.96

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Solution

The fourth proportional to 10,238.73, 15,354.45 and 3,663.96 is: 5,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.73 : 15,354.45 = 3,663.96 : x
  2. Step 2: Convert to fraction form
    10,238.73/15,354.45 = 3,663.96/x
  3. Step 3: Cross multiply
    10,238.73x = 15,354.45 × 3,663.96
  4. Step 4: Simplify right side
    10,238.73x = 56,258,090.62
  5. Step 5: Solve for x
    x = 56,258,090.62/10,238.73
  6. Step 6: Final answer
    x = 5,494.64

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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.