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Finding the Fourth Proportional to 11,805.70, 16,292.30 and 7,331.92

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Solution

The fourth proportional to 11,805.70, 16,292.30 and 7,331.92 is: 10,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.70 : 16,292.30 = 7,331.92 : x
  2. Step 2: Convert to fraction form
    11,805.70/16,292.30 = 7,331.92/x
  3. Step 3: Cross multiply
    11,805.70x = 16,292.30 × 7,331.92
  4. Step 4: Simplify right side
    11,805.70x = 119,453,767.98
  5. Step 5: Solve for x
    x = 119,453,767.98/11,805.70
  6. Step 6: Final answer
    x = 10,118.31

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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.