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Finding the Fourth Proportional to 11,855.75, 16,356.78 and 7,377.89

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Solution

The fourth proportional to 11,855.75, 16,356.78 and 7,377.89 is: 10,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.75 : 16,356.78 = 7,377.89 : x
  2. Step 2: Convert to fraction form
    11,855.75/16,356.78 = 7,377.89/x
  3. Step 3: Cross multiply
    11,855.75x = 16,356.78 × 7,377.89
  4. Step 4: Simplify right side
    11,855.75x = 120,678,441.81
  5. Step 5: Solve for x
    x = 120,678,441.81/11,855.75
  6. Step 6: Final answer
    x = 10,178.90

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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.