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Finding the Fourth Proportional to 8,486, 11,707.96 and 5,129.80

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Solution

The fourth proportional to 8,486, 11,707.96 and 5,129.80 is: 7,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486 : 11,707.96 = 5,129.80 : x
  2. Step 2: Convert to fraction form
    8,486/11,707.96 = 5,129.80/x
  3. Step 3: Cross multiply
    8,486x = 11,707.96 × 5,129.80
  4. Step 4: Simplify right side
    8,486x = 60,059,493.21
  5. Step 5: Solve for x
    x = 60,059,493.21/8,486
  6. Step 6: Final answer
    x = 7,077.48

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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.