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Finding the Fourth Proportional to 8,207.19, 11,321.58 and 6,214.29

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Solution

The fourth proportional to 8,207.19, 11,321.58 and 6,214.29 is: 8,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.19 : 11,321.58 = 6,214.29 : x
  2. Step 2: Convert to fraction form
    8,207.19/11,321.58 = 6,214.29/x
  3. Step 3: Cross multiply
    8,207.19x = 11,321.58 × 6,214.29
  4. Step 4: Simplify right side
    8,207.19x = 70,355,581.38
  5. Step 5: Solve for x
    x = 70,355,581.38/8,207.19
  6. Step 6: Final answer
    x = 8,572.43

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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.