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Finding the Fourth Proportional to 10,446.87, 15,668.87 and 3,427.21

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Solution

The fourth proportional to 10,446.87, 15,668.87 and 3,427.21 is: 5,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.87 : 15,668.87 = 3,427.21 : x
  2. Step 2: Convert to fraction form
    10,446.87/15,668.87 = 3,427.21/x
  3. Step 3: Cross multiply
    10,446.87x = 15,668.87 × 3,427.21
  4. Step 4: Simplify right side
    10,446.87x = 53,700,520.04
  5. Step 5: Solve for x
    x = 53,700,520.04/10,446.87
  6. Step 6: Final answer
    x = 5,140.34

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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.