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Finding the Fourth Proportional to 8,682.66, 11,978.10 and 5,143.86

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Solution

The fourth proportional to 8,682.66, 11,978.10 and 5,143.86 is: 7,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.66 : 11,978.10 = 5,143.86 : x
  2. Step 2: Convert to fraction form
    8,682.66/11,978.10 = 5,143.86/x
  3. Step 3: Cross multiply
    8,682.66x = 11,978.10 × 5,143.86
  4. Step 4: Simplify right side
    8,682.66x = 61,613,669.47
  5. Step 5: Solve for x
    x = 61,613,669.47/8,682.66
  6. Step 6: Final answer
    x = 7,096.17

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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.