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Finding the Fourth Proportional to 7,324.03, 10,982.75 and 4,363.86

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Solution

The fourth proportional to 7,324.03, 10,982.75 and 4,363.86 is: 6,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.03 : 10,982.75 = 4,363.86 : x
  2. Step 2: Convert to fraction form
    7,324.03/10,982.75 = 4,363.86/x
  3. Step 3: Cross multiply
    7,324.03x = 10,982.75 × 4,363.86
  4. Step 4: Simplify right side
    7,324.03x = 47,927,221.78
  5. Step 5: Solve for x
    x = 47,927,221.78/7,324.03
  6. Step 6: Final answer
    x = 6,543.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.