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Finding the Fourth Proportional to 8,519.94, 11,767.36 and 5,682.39

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Solution

The fourth proportional to 8,519.94, 11,767.36 and 5,682.39 is: 7,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.94 : 11,767.36 = 5,682.39 : x
  2. Step 2: Convert to fraction form
    8,519.94/11,767.36 = 5,682.39/x
  3. Step 3: Cross multiply
    8,519.94x = 11,767.36 × 5,682.39
  4. Step 4: Simplify right side
    8,519.94x = 66,866,673.51
  5. Step 5: Solve for x
    x = 66,866,673.51/8,519.94
  6. Step 6: Final answer
    x = 7,848.25

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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.