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Finding the Fourth Proportional to 11,472.63, 17,209.14 and 3,152.60

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Solution

The fourth proportional to 11,472.63, 17,209.14 and 3,152.60 is: 4,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.63 : 17,209.14 = 3,152.60 : x
  2. Step 2: Convert to fraction form
    11,472.63/17,209.14 = 3,152.60/x
  3. Step 3: Cross multiply
    11,472.63x = 17,209.14 × 3,152.60
  4. Step 4: Simplify right side
    11,472.63x = 54,253,433.94
  5. Step 5: Solve for x
    x = 54,253,433.94/11,472.63
  6. Step 6: Final answer
    x = 4,728.94

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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.