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Finding the Fourth Proportional to 11,750.25, 16,223.59 and 8,207.31

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Solution

The fourth proportional to 11,750.25, 16,223.59 and 8,207.31 is: 11,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.25 : 16,223.59 = 8,207.31 : x
  2. Step 2: Convert to fraction form
    11,750.25/16,223.59 = 8,207.31/x
  3. Step 3: Cross multiply
    11,750.25x = 16,223.59 × 8,207.31
  4. Step 4: Simplify right side
    11,750.25x = 133,152,032.44
  5. Step 5: Solve for x
    x = 133,152,032.44/11,750.25
  6. Step 6: Final answer
    x = 11,331.85

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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.