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Finding the Fourth Proportional to 8,677.92, 13,016.48 and 2,833.80

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Solution

The fourth proportional to 8,677.92, 13,016.48 and 2,833.80 is: 4,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.92 : 13,016.48 = 2,833.80 : x
  2. Step 2: Convert to fraction form
    8,677.92/13,016.48 = 2,833.80/x
  3. Step 3: Cross multiply
    8,677.92x = 13,016.48 × 2,833.80
  4. Step 4: Simplify right side
    8,677.92x = 36,886,101.02
  5. Step 5: Solve for x
    x = 36,886,101.02/8,677.92
  6. Step 6: Final answer
    x = 4,250.57

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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.