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Finding the Fourth Proportional to 11,538.12, 17,308.03 and 4,142.64

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Solution

The fourth proportional to 11,538.12, 17,308.03 and 4,142.64 is: 6,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.12 : 17,308.03 = 4,142.64 : x
  2. Step 2: Convert to fraction form
    11,538.12/17,308.03 = 4,142.64/x
  3. Step 3: Cross multiply
    11,538.12x = 17,308.03 × 4,142.64
  4. Step 4: Simplify right side
    11,538.12x = 71,700,999.72
  5. Step 5: Solve for x
    x = 71,700,999.72/11,538.12
  6. Step 6: Final answer
    x = 6,214.27

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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.