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Finding the Fourth Proportional to 8,567.16, 11,823.14 and 5,209.43

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Solution

The fourth proportional to 8,567.16, 11,823.14 and 5,209.43 is: 7,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.16 : 11,823.14 = 5,209.43 : x
  2. Step 2: Convert to fraction form
    8,567.16/11,823.14 = 5,209.43/x
  3. Step 3: Cross multiply
    8,567.16x = 11,823.14 × 5,209.43
  4. Step 4: Simplify right side
    8,567.16x = 61,591,735.05
  5. Step 5: Solve for x
    x = 61,591,735.05/8,567.16
  6. Step 6: Final answer
    x = 7,189.28

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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.