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Finding the Fourth Proportional to 8,148.69, 11,246.39 and 5,164.80

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Solution

The fourth proportional to 8,148.69, 11,246.39 and 5,164.80 is: 7,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.69 : 11,246.39 = 5,164.80 : x
  2. Step 2: Convert to fraction form
    8,148.69/11,246.39 = 5,164.80/x
  3. Step 3: Cross multiply
    8,148.69x = 11,246.39 × 5,164.80
  4. Step 4: Simplify right side
    8,148.69x = 58,085,329.25
  5. Step 5: Solve for x
    x = 58,085,329.25/8,148.69
  6. Step 6: Final answer
    x = 7,128.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.