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Finding the Fourth Proportional to 8,688.66, 11,986.38 and 5,149.86

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Solution

The fourth proportional to 8,688.66, 11,986.38 and 5,149.86 is: 7,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,688.66 : 11,986.38 = 5,149.86 : x
  2. Step 2: Convert to fraction form
    8,688.66/11,986.38 = 5,149.86/x
  3. Step 3: Cross multiply
    8,688.66x = 11,986.38 × 5,149.86
  4. Step 4: Simplify right side
    8,688.66x = 61,728,178.91
  5. Step 5: Solve for x
    x = 61,728,178.91/8,688.66
  6. Step 6: Final answer
    x = 7,104.45

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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.