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Finding the Fourth Proportional to 8,169.66, 11,267.91 and 5,378.94

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Solution

The fourth proportional to 8,169.66, 11,267.91 and 5,378.94 is: 7,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.66 : 11,267.91 = 5,378.94 : x
  2. Step 2: Convert to fraction form
    8,169.66/11,267.91 = 5,378.94/x
  3. Step 3: Cross multiply
    8,169.66x = 11,267.91 × 5,378.94
  4. Step 4: Simplify right side
    8,169.66x = 60,609,411.82
  5. Step 5: Solve for x
    x = 60,609,411.82/8,169.66
  6. Step 6: Final answer
    x = 7,418.84

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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.