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Finding the Fourth Proportional to 10,915.92, 16,374.30 and 3,520.50

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Solution

The fourth proportional to 10,915.92, 16,374.30 and 3,520.50 is: 5,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.92 : 16,374.30 = 3,520.50 : x
  2. Step 2: Convert to fraction form
    10,915.92/16,374.30 = 3,520.50/x
  3. Step 3: Cross multiply
    10,915.92x = 16,374.30 × 3,520.50
  4. Step 4: Simplify right side
    10,915.92x = 57,645,723.15
  5. Step 5: Solve for x
    x = 57,645,723.15/10,915.92
  6. Step 6: Final answer
    x = 5,280.89

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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.