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Finding the Fourth Proportional to 8,523.84, 11,759.52 and 5,213.76

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Solution

The fourth proportional to 8,523.84, 11,759.52 and 5,213.76 is: 7,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.84 : 11,759.52 = 5,213.76 : x
  2. Step 2: Convert to fraction form
    8,523.84/11,759.52 = 5,213.76/x
  3. Step 3: Cross multiply
    8,523.84x = 11,759.52 × 5,213.76
  4. Step 4: Simplify right side
    8,523.84x = 61,311,315.00
  5. Step 5: Solve for x
    x = 61,311,315.00/8,523.84
  6. Step 6: Final answer
    x = 7,192.92

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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.