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Finding the Fourth Proportional to 8,667.13, 13,003.71 and 2,823.70

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Solution

The fourth proportional to 8,667.13, 13,003.71 and 2,823.70 is: 4,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.13 : 13,003.71 = 2,823.70 : x
  2. Step 2: Convert to fraction form
    8,667.13/13,003.71 = 2,823.70/x
  3. Step 3: Cross multiply
    8,667.13x = 13,003.71 × 2,823.70
  4. Step 4: Simplify right side
    8,667.13x = 36,718,575.93
  5. Step 5: Solve for x
    x = 36,718,575.93/8,667.13
  6. Step 6: Final answer
    x = 4,236.53

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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.