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Finding the Fourth Proportional to 11,367.92, 15,688.21 and 6,332.14

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Solution

The fourth proportional to 11,367.92, 15,688.21 and 6,332.14 is: 8,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.92 : 15,688.21 = 6,332.14 : x
  2. Step 2: Convert to fraction form
    11,367.92/15,688.21 = 6,332.14/x
  3. Step 3: Cross multiply
    11,367.92x = 15,688.21 × 6,332.14
  4. Step 4: Simplify right side
    11,367.92x = 99,339,942.07
  5. Step 5: Solve for x
    x = 99,339,942.07/11,367.92
  6. Step 6: Final answer
    x = 8,738.62

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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.