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Finding the Fourth Proportional to 8,553, 12,830.94 and 3,287.88

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Solution

The fourth proportional to 8,553, 12,830.94 and 3,287.88 is: 4,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553 : 12,830.94 = 3,287.88 : x
  2. Step 2: Convert to fraction form
    8,553/12,830.94 = 3,287.88/x
  3. Step 3: Cross multiply
    8,553x = 12,830.94 × 3,287.88
  4. Step 4: Simplify right side
    8,553x = 42,186,591.01
  5. Step 5: Solve for x
    x = 42,186,591.01/8,553
  6. Step 6: Final answer
    x = 4,932.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.