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Finding the Fourth Proportional to 11,688.55, 16,129.94 and 6,383.39

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Solution

The fourth proportional to 11,688.55, 16,129.94 and 6,383.39 is: 8,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.55 : 16,129.94 = 6,383.39 : x
  2. Step 2: Convert to fraction form
    11,688.55/16,129.94 = 6,383.39/x
  3. Step 3: Cross multiply
    11,688.55x = 16,129.94 × 6,383.39
  4. Step 4: Simplify right side
    11,688.55x = 102,963,673.33
  5. Step 5: Solve for x
    x = 102,963,673.33/11,688.55
  6. Step 6: Final answer
    x = 8,808.93

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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.