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Finding the Fourth Proportional to 7,403.85, 10,217.02 and 4,046.78

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Solution

The fourth proportional to 7,403.85, 10,217.02 and 4,046.78 is: 5,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.85 : 10,217.02 = 4,046.78 : x
  2. Step 2: Convert to fraction form
    7,403.85/10,217.02 = 4,046.78/x
  3. Step 3: Cross multiply
    7,403.85x = 10,217.02 × 4,046.78
  4. Step 4: Simplify right side
    7,403.85x = 41,345,960.88
  5. Step 5: Solve for x
    x = 41,345,960.88/7,403.85
  6. Step 6: Final answer
    x = 5,584.39

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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.