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Finding the Fourth Proportional to 10,915.38, 16,371.09 and 4,990.92

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Solution

The fourth proportional to 10,915.38, 16,371.09 and 4,990.92 is: 7,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.38 : 16,371.09 = 4,990.92 : x
  2. Step 2: Convert to fraction form
    10,915.38/16,371.09 = 4,990.92/x
  3. Step 3: Cross multiply
    10,915.38x = 16,371.09 × 4,990.92
  4. Step 4: Simplify right side
    10,915.38x = 81,706,800.50
  5. Step 5: Solve for x
    x = 81,706,800.50/10,915.38
  6. Step 6: Final answer
    x = 7,485.47

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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.