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Finding the Fourth Proportional to 8,667.90, 13,002.48 and 2,824.26

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Solution

The fourth proportional to 8,667.90, 13,002.48 and 2,824.26 is: 4,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.90 : 13,002.48 = 2,824.26 : x
  2. Step 2: Convert to fraction form
    8,667.90/13,002.48 = 2,824.26/x
  3. Step 3: Cross multiply
    8,667.90x = 13,002.48 × 2,824.26
  4. Step 4: Simplify right side
    8,667.90x = 36,722,384.16
  5. Step 5: Solve for x
    x = 36,722,384.16/8,667.90
  6. Step 6: Final answer
    x = 4,236.60

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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.