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Finding the Fourth Proportional to 10,418.49, 14,372.64 and 6,169.23

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Solution

The fourth proportional to 10,418.49, 14,372.64 and 6,169.23 is: 8,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.49 : 14,372.64 = 6,169.23 : x
  2. Step 2: Convert to fraction form
    10,418.49/14,372.64 = 6,169.23/x
  3. Step 3: Cross multiply
    10,418.49x = 14,372.64 × 6,169.23
  4. Step 4: Simplify right side
    10,418.49x = 88,668,121.87
  5. Step 5: Solve for x
    x = 88,668,121.87/10,418.49
  6. Step 6: Final answer
    x = 8,510.65

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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.