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Finding the Fourth Proportional to 11,807.12, 17,735.29 and 9,961.85

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Solution

The fourth proportional to 11,807.12, 17,735.29 and 9,961.85 is: 14,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.12 : 17,735.29 = 9,961.85 : x
  2. Step 2: Convert to fraction form
    11,807.12/17,735.29 = 9,961.85/x
  3. Step 3: Cross multiply
    11,807.12x = 17,735.29 × 9,961.85
  4. Step 4: Simplify right side
    11,807.12x = 176,676,318.12
  5. Step 5: Solve for x
    x = 176,676,318.12/11,807.12
  6. Step 6: Final answer
    x = 14,963.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.