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Finding the Fourth Proportional to 8,333, 11,499.66 and 4,607

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Solution

The fourth proportional to 8,333, 11,499.66 and 4,607 is: 6,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333 : 11,499.66 = 4,607 : x
  2. Step 2: Convert to fraction form
    8,333/11,499.66 = 4,607/x
  3. Step 3: Cross multiply
    8,333x = 11,499.66 × 4,607
  4. Step 4: Simplify right side
    8,333x = 52,978,933.62
  5. Step 5: Solve for x
    x = 52,978,933.62/8,333
  6. Step 6: Final answer
    x = 6,357.73

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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.