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Finding the Fourth Proportional to 8,469.16, 11,693.16 and 5,287.30

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Solution

The fourth proportional to 8,469.16, 11,693.16 and 5,287.30 is: 7,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.16 : 11,693.16 = 5,287.30 : x
  2. Step 2: Convert to fraction form
    8,469.16/11,693.16 = 5,287.30/x
  3. Step 3: Cross multiply
    8,469.16x = 11,693.16 × 5,287.30
  4. Step 4: Simplify right side
    8,469.16x = 61,825,244.87
  5. Step 5: Solve for x
    x = 61,825,244.87/8,469.16
  6. Step 6: Final answer
    x = 7,300.04

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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.