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Finding the Fourth Proportional to 13,382.79, 18,468 and 8,077.83

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Solution

The fourth proportional to 13,382.79, 18,468 and 8,077.83 is: 11,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.79 : 18,468 = 8,077.83 : x
  2. Step 2: Convert to fraction form
    13,382.79/18,468 = 8,077.83/x
  3. Step 3: Cross multiply
    13,382.79x = 18,468 × 8,077.83
  4. Step 4: Simplify right side
    13,382.79x = 149,181,364.44
  5. Step 5: Solve for x
    x = 149,181,364.44/13,382.79
  6. Step 6: Final answer
    x = 11,147.25

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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.