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Finding the Fourth Proportional to 8,200.58, 11,317.29 and 6,207.98

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Solution

The fourth proportional to 8,200.58, 11,317.29 and 6,207.98 is: 8,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.58 : 11,317.29 = 6,207.98 : x
  2. Step 2: Convert to fraction form
    8,200.58/11,317.29 = 6,207.98/x
  3. Step 3: Cross multiply
    8,200.58x = 11,317.29 × 6,207.98
  4. Step 4: Simplify right side
    8,200.58x = 70,257,509.97
  5. Step 5: Solve for x
    x = 70,257,509.97/8,200.58
  6. Step 6: Final answer
    x = 8,567.38

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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.