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Finding the Fourth Proportional to 10,115.35, 15,174.64 and 3,000.31

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Solution

The fourth proportional to 10,115.35, 15,174.64 and 3,000.31 is: 4,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.35 : 15,174.64 = 3,000.31 : x
  2. Step 2: Convert to fraction form
    10,115.35/15,174.64 = 3,000.31/x
  3. Step 3: Cross multiply
    10,115.35x = 15,174.64 × 3,000.31
  4. Step 4: Simplify right side
    10,115.35x = 45,528,624.14
  5. Step 5: Solve for x
    x = 45,528,624.14/10,115.35
  6. Step 6: Final answer
    x = 4,500.94

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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.