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Finding the Fourth Proportional to 7,915.14, 11,864.88 and 3,747.83

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Solution

The fourth proportional to 7,915.14, 11,864.88 and 3,747.83 is: 5,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.14 : 11,864.88 = 3,747.83 : x
  2. Step 2: Convert to fraction form
    7,915.14/11,864.88 = 3,747.83/x
  3. Step 3: Cross multiply
    7,915.14x = 11,864.88 × 3,747.83
  4. Step 4: Simplify right side
    7,915.14x = 44,467,493.89
  5. Step 5: Solve for x
    x = 44,467,493.89/7,915.14
  6. Step 6: Final answer
    x = 5,618.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.