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Finding the Fourth Proportional to 8,213.96, 11,335.36 and 4,677.16

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Solution

The fourth proportional to 8,213.96, 11,335.36 and 4,677.16 is: 6,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.96 : 11,335.36 = 4,677.16 : x
  2. Step 2: Convert to fraction form
    8,213.96/11,335.36 = 4,677.16/x
  3. Step 3: Cross multiply
    8,213.96x = 11,335.36 × 4,677.16
  4. Step 4: Simplify right side
    8,213.96x = 53,017,292.38
  5. Step 5: Solve for x
    x = 53,017,292.38/8,213.96
  6. Step 6: Final answer
    x = 6,454.54

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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.