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Finding the Fourth Proportional to 11,412.92, 17,120 and 3,520.87

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Solution

The fourth proportional to 11,412.92, 17,120 and 3,520.87 is: 5,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.92 : 17,120 = 3,520.87 : x
  2. Step 2: Convert to fraction form
    11,412.92/17,120 = 3,520.87/x
  3. Step 3: Cross multiply
    11,412.92x = 17,120 × 3,520.87
  4. Step 4: Simplify right side
    11,412.92x = 60,277,294.40
  5. Step 5: Solve for x
    x = 60,277,294.40/11,412.92
  6. Step 6: Final answer
    x = 5,281.50

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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.