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Finding the Fourth Proportional to 10,708.10, 14,766.81 and 8,349.38

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Solution

The fourth proportional to 10,708.10, 14,766.81 and 8,349.38 is: 11,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.10 : 14,766.81 = 8,349.38 : x
  2. Step 2: Convert to fraction form
    10,708.10/14,766.81 = 8,349.38/x
  3. Step 3: Cross multiply
    10,708.10x = 14,766.81 × 8,349.38
  4. Step 4: Simplify right side
    10,708.10x = 123,293,708.08
  5. Step 5: Solve for x
    x = 123,293,708.08/10,708.10
  6. Step 6: Final answer
    x = 11,514.06

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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.