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Finding the Fourth Proportional to 10,383.64, 14,328.84 and 5,908.48

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Solution

The fourth proportional to 10,383.64, 14,328.84 and 5,908.48 is: 8,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.64 : 14,328.84 = 5,908.48 : x
  2. Step 2: Convert to fraction form
    10,383.64/14,328.84 = 5,908.48/x
  3. Step 3: Cross multiply
    10,383.64x = 14,328.84 × 5,908.48
  4. Step 4: Simplify right side
    10,383.64x = 84,661,664.56
  5. Step 5: Solve for x
    x = 84,661,664.56/10,383.64
  6. Step 6: Final answer
    x = 8,153.37

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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.