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Finding the Fourth Proportional to 8,502.74, 11,732.38 and 4,725.80

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Solution

The fourth proportional to 8,502.74, 11,732.38 and 4,725.80 is: 6,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.74 : 11,732.38 = 4,725.80 : x
  2. Step 2: Convert to fraction form
    8,502.74/11,732.38 = 4,725.80/x
  3. Step 3: Cross multiply
    8,502.74x = 11,732.38 × 4,725.80
  4. Step 4: Simplify right side
    8,502.74x = 55,444,799.11
  5. Step 5: Solve for x
    x = 55,444,799.11/8,502.74
  6. Step 6: Final answer
    x = 6,520.82

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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.