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Finding the Fourth Proportional to 8,148.69, 11,252.13 and 5,169.81

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Solution

The fourth proportional to 8,148.69, 11,252.13 and 5,169.81 is: 7,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.69 : 11,252.13 = 5,169.81 : x
  2. Step 2: Convert to fraction form
    8,148.69/11,252.13 = 5,169.81/x
  3. Step 3: Cross multiply
    8,148.69x = 11,252.13 × 5,169.81
  4. Step 4: Simplify right side
    8,148.69x = 58,171,374.20
  5. Step 5: Solve for x
    x = 58,171,374.20/8,148.69
  6. Step 6: Final answer
    x = 7,138.74

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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.