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Finding the Fourth Proportional to 7,403.38, 10,216.91 and 4,046.38

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Solution

The fourth proportional to 7,403.38, 10,216.91 and 4,046.38 is: 5,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.38 : 10,216.91 = 4,046.38 : x
  2. Step 2: Convert to fraction form
    7,403.38/10,216.91 = 4,046.38/x
  3. Step 3: Cross multiply
    7,403.38x = 10,216.91 × 4,046.38
  4. Step 4: Simplify right side
    7,403.38x = 41,341,500.29
  5. Step 5: Solve for x
    x = 41,341,500.29/7,403.38
  6. Step 6: Final answer
    x = 5,584.14

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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.