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Finding the Fourth Proportional to 7,469.71, 11,180.62 and 4,965.15

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Solution

The fourth proportional to 7,469.71, 11,180.62 and 4,965.15 is: 7,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.71 : 11,180.62 = 4,965.15 : x
  2. Step 2: Convert to fraction form
    7,469.71/11,180.62 = 4,965.15/x
  3. Step 3: Cross multiply
    7,469.71x = 11,180.62 × 4,965.15
  4. Step 4: Simplify right side
    7,469.71x = 55,513,455.39
  5. Step 5: Solve for x
    x = 55,513,455.39/7,469.71
  6. Step 6: Final answer
    x = 7,431.81

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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.