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Finding the Fourth Proportional to 8,523.53, 11,759.21 and 5,335.50

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Solution

The fourth proportional to 8,523.53, 11,759.21 and 5,335.50 is: 7,360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.53 : 11,759.21 = 5,335.50 : x
  2. Step 2: Convert to fraction form
    8,523.53/11,759.21 = 5,335.50/x
  3. Step 3: Cross multiply
    8,523.53x = 11,759.21 × 5,335.50
  4. Step 4: Simplify right side
    8,523.53x = 62,741,302.38
  5. Step 5: Solve for x
    x = 62,741,302.38/8,523.53
  6. Step 6: Final answer
    x = 7,360.95

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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.