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Finding the Fourth Proportional to 11,329.92, 15,648.38 and 7,546.86

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Solution

The fourth proportional to 11,329.92, 15,648.38 and 7,546.86 is: 10,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.92 : 15,648.38 = 7,546.86 : x
  2. Step 2: Convert to fraction form
    11,329.92/15,648.38 = 7,546.86/x
  3. Step 3: Cross multiply
    11,329.92x = 15,648.38 × 7,546.86
  4. Step 4: Simplify right side
    11,329.92x = 118,096,095.35
  5. Step 5: Solve for x
    x = 118,096,095.35/11,329.92
  6. Step 6: Final answer
    x = 10,423.38

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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.