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Finding the Fourth Proportional to 8,369.66, 11,549.39 and 4,783.91

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Solution

The fourth proportional to 8,369.66, 11,549.39 and 4,783.91 is: 6,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.66 : 11,549.39 = 4,783.91 : x
  2. Step 2: Convert to fraction form
    8,369.66/11,549.39 = 4,783.91/x
  3. Step 3: Cross multiply
    8,369.66x = 11,549.39 × 4,783.91
  4. Step 4: Simplify right side
    8,369.66x = 55,251,255.89
  5. Step 5: Solve for x
    x = 55,251,255.89/8,369.66
  6. Step 6: Final answer
    x = 6,601.37

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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.