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Finding the Fourth Proportional to 11,311.76, 16,962.16 and 3,913.60

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Solution

The fourth proportional to 11,311.76, 16,962.16 and 3,913.60 is: 5,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.76 : 16,962.16 = 3,913.60 : x
  2. Step 2: Convert to fraction form
    11,311.76/16,962.16 = 3,913.60/x
  3. Step 3: Cross multiply
    11,311.76x = 16,962.16 × 3,913.60
  4. Step 4: Simplify right side
    11,311.76x = 66,383,109.38
  5. Step 5: Solve for x
    x = 66,383,109.38/11,311.76
  6. Step 6: Final answer
    x = 5,868.50

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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.