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Finding the Fourth Proportional to 11,855.34, 16,363.64 and 7,376.42

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Solution

The fourth proportional to 11,855.34, 16,363.64 and 7,376.42 is: 10,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.34 : 16,363.64 = 7,376.42 : x
  2. Step 2: Convert to fraction form
    11,855.34/16,363.64 = 7,376.42/x
  3. Step 3: Cross multiply
    11,855.34x = 16,363.64 × 7,376.42
  4. Step 4: Simplify right side
    11,855.34x = 120,705,081.37
  5. Step 5: Solve for x
    x = 120,705,081.37/11,855.34
  6. Step 6: Final answer
    x = 10,181.49

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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.