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Finding the Fourth Proportional to 8,134.65, 11,224.34 and 4,549.67

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Solution

The fourth proportional to 8,134.65, 11,224.34 and 4,549.67 is: 6,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.65 : 11,224.34 = 4,549.67 : x
  2. Step 2: Convert to fraction form
    8,134.65/11,224.34 = 4,549.67/x
  3. Step 3: Cross multiply
    8,134.65x = 11,224.34 × 4,549.67
  4. Step 4: Simplify right side
    8,134.65x = 51,067,042.97
  5. Step 5: Solve for x
    x = 51,067,042.97/8,134.65
  6. Step 6: Final answer
    x = 6,277.72

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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.