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Finding the Fourth Proportional to 10,418.65, 14,374.18 and 5,939.17

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Solution

The fourth proportional to 10,418.65, 14,374.18 and 5,939.17 is: 8,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.65 : 14,374.18 = 5,939.17 : x
  2. Step 2: Convert to fraction form
    10,418.65/14,374.18 = 5,939.17/x
  3. Step 3: Cross multiply
    10,418.65x = 14,374.18 × 5,939.17
  4. Step 4: Simplify right side
    10,418.65x = 85,370,668.93
  5. Step 5: Solve for x
    x = 85,370,668.93/10,418.65
  6. Step 6: Final answer
    x = 8,194.03

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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.