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Finding the Fourth Proportional to 10,736.66, 14,830.40 and 8,249.38

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Solution

The fourth proportional to 10,736.66, 14,830.40 and 8,249.38 is: 11,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.66 : 14,830.40 = 8,249.38 : x
  2. Step 2: Convert to fraction form
    10,736.66/14,830.40 = 8,249.38/x
  3. Step 3: Cross multiply
    10,736.66x = 14,830.40 × 8,249.38
  4. Step 4: Simplify right side
    10,736.66x = 122,341,588.70
  5. Step 5: Solve for x
    x = 122,341,588.70/10,736.66
  6. Step 6: Final answer
    x = 11,394.75

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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.