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Finding the Fourth Proportional to 11,701.54, 17,553.41 and 4,306.14

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Solution

The fourth proportional to 11,701.54, 17,553.41 and 4,306.14 is: 6,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.54 : 17,553.41 = 4,306.14 : x
  2. Step 2: Convert to fraction form
    11,701.54/17,553.41 = 4,306.14/x
  3. Step 3: Cross multiply
    11,701.54x = 17,553.41 × 4,306.14
  4. Step 4: Simplify right side
    11,701.54x = 75,587,440.94
  5. Step 5: Solve for x
    x = 75,587,440.94/11,701.54
  6. Step 6: Final answer
    x = 6,459.61

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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.