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Finding the Fourth Proportional to 8,494.65, 12,749.27 and 4,057.79

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Solution

The fourth proportional to 8,494.65, 12,749.27 and 4,057.79 is: 6,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.65 : 12,749.27 = 4,057.79 : x
  2. Step 2: Convert to fraction form
    8,494.65/12,749.27 = 4,057.79/x
  3. Step 3: Cross multiply
    8,494.65x = 12,749.27 × 4,057.79
  4. Step 4: Simplify right side
    8,494.65x = 51,733,776.28
  5. Step 5: Solve for x
    x = 51,733,776.28/8,494.65
  6. Step 6: Final answer
    x = 6,090.16

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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.