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Finding the Fourth Proportional to 8,262.12, 11,401.62 and 4,485.42

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Solution

The fourth proportional to 8,262.12, 11,401.62 and 4,485.42 is: 6,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.12 : 11,401.62 = 4,485.42 : x
  2. Step 2: Convert to fraction form
    8,262.12/11,401.62 = 4,485.42/x
  3. Step 3: Cross multiply
    8,262.12x = 11,401.62 × 4,485.42
  4. Step 4: Simplify right side
    8,262.12x = 51,141,054.38
  5. Step 5: Solve for x
    x = 51,141,054.38/8,262.12
  6. Step 6: Final answer
    x = 6,189.82

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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.