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Finding the Fourth Proportional to 10,094.76, 15,142.68 and 3,855.27

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Solution

The fourth proportional to 10,094.76, 15,142.68 and 3,855.27 is: 5,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.76 : 15,142.68 = 3,855.27 : x
  2. Step 2: Convert to fraction form
    10,094.76/15,142.68 = 3,855.27/x
  3. Step 3: Cross multiply
    10,094.76x = 15,142.68 × 3,855.27
  4. Step 4: Simplify right side
    10,094.76x = 58,379,119.92
  5. Step 5: Solve for x
    x = 58,379,119.92/10,094.76
  6. Step 6: Final answer
    x = 5,783.11

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