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Finding the Fourth Proportional to 8,235, 12,354.06 and 3,305.03

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Solution

The fourth proportional to 8,235, 12,354.06 and 3,305.03 is: 4,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235 : 12,354.06 = 3,305.03 : x
  2. Step 2: Convert to fraction form
    8,235/12,354.06 = 3,305.03/x
  3. Step 3: Cross multiply
    8,235x = 12,354.06 × 3,305.03
  4. Step 4: Simplify right side
    8,235x = 40,830,489.55
  5. Step 5: Solve for x
    x = 40,830,489.55/8,235
  6. Step 6: Final answer
    x = 4,958.17

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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.