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Finding the Fourth Proportional to 11,936.81, 16,472.81 and 6,632.12

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Solution

The fourth proportional to 11,936.81, 16,472.81 and 6,632.12 is: 9,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936.81 : 16,472.81 = 6,632.12 : x
  2. Step 2: Convert to fraction form
    11,936.81/16,472.81 = 6,632.12/x
  3. Step 3: Cross multiply
    11,936.81x = 16,472.81 × 6,632.12
  4. Step 4: Simplify right side
    11,936.81x = 109,249,710.42
  5. Step 5: Solve for x
    x = 109,249,710.42/11,936.81
  6. Step 6: Final answer
    x = 9,152.34

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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.