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Finding the Fourth Proportional to 10,016.75, 15,029.82 and 4,469.54

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Solution

The fourth proportional to 10,016.75, 15,029.82 and 4,469.54 is: 6,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.75 : 15,029.82 = 4,469.54 : x
  2. Step 2: Convert to fraction form
    10,016.75/15,029.82 = 4,469.54/x
  3. Step 3: Cross multiply
    10,016.75x = 15,029.82 × 4,469.54
  4. Step 4: Simplify right side
    10,016.75x = 67,176,306.53
  5. Step 5: Solve for x
    x = 67,176,306.53/10,016.75
  6. Step 6: Final answer
    x = 6,706.40

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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.