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Finding the Fourth Proportional to 11,600.15, 17,402.54 and 4,204.89

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Solution

The fourth proportional to 11,600.15, 17,402.54 and 4,204.89 is: 6,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.15 : 17,402.54 = 4,204.89 : x
  2. Step 2: Convert to fraction form
    11,600.15/17,402.54 = 4,204.89/x
  3. Step 3: Cross multiply
    11,600.15x = 17,402.54 × 4,204.89
  4. Step 4: Simplify right side
    11,600.15x = 73,175,745.40
  5. Step 5: Solve for x
    x = 73,175,745.40/11,600.15
  6. Step 6: Final answer
    x = 6,308.18

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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.