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Finding the Fourth Proportional to 8,502.75, 12,741.82 and 4,797.15

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Solution

The fourth proportional to 8,502.75, 12,741.82 and 4,797.15 is: 7,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.75 : 12,741.82 = 4,797.15 : x
  2. Step 2: Convert to fraction form
    8,502.75/12,741.82 = 4,797.15/x
  3. Step 3: Cross multiply
    8,502.75x = 12,741.82 × 4,797.15
  4. Step 4: Simplify right side
    8,502.75x = 61,124,362.04
  5. Step 5: Solve for x
    x = 61,124,362.04/8,502.75
  6. Step 6: Final answer
    x = 7,188.78

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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.