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Finding the Fourth Proportional to 11,688.37, 16,130.37 and 6,383.41

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Solution

The fourth proportional to 11,688.37, 16,130.37 and 6,383.41 is: 8,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.37 : 16,130.37 = 6,383.41 : x
  2. Step 2: Convert to fraction form
    11,688.37/16,130.37 = 6,383.41/x
  3. Step 3: Cross multiply
    11,688.37x = 16,130.37 × 6,383.41
  4. Step 4: Simplify right side
    11,688.37x = 102,966,765.16
  5. Step 5: Solve for x
    x = 102,966,765.16/11,688.37
  6. Step 6: Final answer
    x = 8,809.33

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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.