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Finding the Fourth Proportional to 8,188.38, 11,300.04 and 5,802.54

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Solution

The fourth proportional to 8,188.38, 11,300.04 and 5,802.54 is: 8,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.38 : 11,300.04 = 5,802.54 : x
  2. Step 2: Convert to fraction form
    8,188.38/11,300.04 = 5,802.54/x
  3. Step 3: Cross multiply
    8,188.38x = 11,300.04 × 5,802.54
  4. Step 4: Simplify right side
    8,188.38x = 65,568,934.10
  5. Step 5: Solve for x
    x = 65,568,934.10/8,188.38
  6. Step 6: Final answer
    x = 8,007.56

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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.