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Finding the Fourth Proportional to 10,115.04, 15,173.10 and 3,189

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Solution

The fourth proportional to 10,115.04, 15,173.10 and 3,189 is: 4,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.04 : 15,173.10 = 3,189 : x
  2. Step 2: Convert to fraction form
    10,115.04/15,173.10 = 3,189/x
  3. Step 3: Cross multiply
    10,115.04x = 15,173.10 × 3,189
  4. Step 4: Simplify right side
    10,115.04x = 48,387,015.90
  5. Step 5: Solve for x
    x = 48,387,015.90/10,115.04
  6. Step 6: Final answer
    x = 4,783.67

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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.