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Finding the Fourth Proportional to 8,233.62, 11,358.42 and 7,915.38

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Solution

The fourth proportional to 8,233.62, 11,358.42 and 7,915.38 is: 10,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.62 : 11,358.42 = 7,915.38 : x
  2. Step 2: Convert to fraction form
    8,233.62/11,358.42 = 7,915.38/x
  3. Step 3: Cross multiply
    8,233.62x = 11,358.42 × 7,915.38
  4. Step 4: Simplify right side
    8,233.62x = 89,906,210.50
  5. Step 5: Solve for x
    x = 89,906,210.50/8,233.62
  6. Step 6: Final answer
    x = 10,919.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.