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Finding the Fourth Proportional to 8,523.24, 11,760.61 and 7,834.25

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Solution

The fourth proportional to 8,523.24, 11,760.61 and 7,834.25 is: 10,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.24 : 11,760.61 = 7,834.25 : x
  2. Step 2: Convert to fraction form
    8,523.24/11,760.61 = 7,834.25/x
  3. Step 3: Cross multiply
    8,523.24x = 11,760.61 × 7,834.25
  4. Step 4: Simplify right side
    8,523.24x = 92,135,583.40
  5. Step 5: Solve for x
    x = 92,135,583.40/8,523.24
  6. Step 6: Final answer
    x = 10,809.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.