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Finding the Fourth Proportional to 8,341.26, 11,491.41 and 5,818.80

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Solution

The fourth proportional to 8,341.26, 11,491.41 and 5,818.80 is: 8,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.26 : 11,491.41 = 5,818.80 : x
  2. Step 2: Convert to fraction form
    8,341.26/11,491.41 = 5,818.80/x
  3. Step 3: Cross multiply
    8,341.26x = 11,491.41 × 5,818.80
  4. Step 4: Simplify right side
    8,341.26x = 66,866,216.51
  5. Step 5: Solve for x
    x = 66,866,216.51/8,341.26
  6. Step 6: Final answer
    x = 8,016.32

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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.