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Finding the Fourth Proportional to 10,209.16, 15,313.74 and 3,189.78

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Solution

The fourth proportional to 10,209.16, 15,313.74 and 3,189.78 is: 4,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.16 : 15,313.74 = 3,189.78 : x
  2. Step 2: Convert to fraction form
    10,209.16/15,313.74 = 3,189.78/x
  3. Step 3: Cross multiply
    10,209.16x = 15,313.74 × 3,189.78
  4. Step 4: Simplify right side
    10,209.16x = 48,847,449.62
  5. Step 5: Solve for x
    x = 48,847,449.62/10,209.16
  6. Step 6: Final answer
    x = 4,784.67

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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.