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Finding the Fourth Proportional to 8,200.89, 11,318.16 and 4,567.29

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Solution

The fourth proportional to 8,200.89, 11,318.16 and 4,567.29 is: 6,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.89 : 11,318.16 = 4,567.29 : x
  2. Step 2: Convert to fraction form
    8,200.89/11,318.16 = 4,567.29/x
  3. Step 3: Cross multiply
    8,200.89x = 11,318.16 × 4,567.29
  4. Step 4: Simplify right side
    8,200.89x = 51,693,318.99
  5. Step 5: Solve for x
    x = 51,693,318.99/8,200.89
  6. Step 6: Final answer
    x = 6,303.38

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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.