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Finding the Fourth Proportional to 8,572.96, 11,830.60 and 4,796.14

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Solution

The fourth proportional to 8,572.96, 11,830.60 and 4,796.14 is: 6,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.96 : 11,830.60 = 4,796.14 : x
  2. Step 2: Convert to fraction form
    8,572.96/11,830.60 = 4,796.14/x
  3. Step 3: Cross multiply
    8,572.96x = 11,830.60 × 4,796.14
  4. Step 4: Simplify right side
    8,572.96x = 56,741,213.88
  5. Step 5: Solve for x
    x = 56,741,213.88/8,572.96
  6. Step 6: Final answer
    x = 6,618.63

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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.