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Finding the Fourth Proportional to 11,638.60, 17,459.09 and 7,254.88

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Solution

The fourth proportional to 11,638.60, 17,459.09 and 7,254.88 is: 10,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.60 : 17,459.09 = 7,254.88 : x
  2. Step 2: Convert to fraction form
    11,638.60/17,459.09 = 7,254.88/x
  3. Step 3: Cross multiply
    11,638.60x = 17,459.09 × 7,254.88
  4. Step 4: Simplify right side
    11,638.60x = 126,663,602.86
  5. Step 5: Solve for x
    x = 126,663,602.86/11,638.60
  6. Step 6: Final answer
    x = 10,883.06

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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.