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Finding the Fourth Proportional to 7,321.96, 10,099.96 and 4,490.61

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Solution

The fourth proportional to 7,321.96, 10,099.96 and 4,490.61 is: 6,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.96 : 10,099.96 = 4,490.61 : x
  2. Step 2: Convert to fraction form
    7,321.96/10,099.96 = 4,490.61/x
  3. Step 3: Cross multiply
    7,321.96x = 10,099.96 × 4,490.61
  4. Step 4: Simplify right side
    7,321.96x = 45,354,981.38
  5. Step 5: Solve for x
    x = 45,354,981.38/7,321.96
  6. Step 6: Final answer
    x = 6,194.38

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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.