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Finding the Fourth Proportional to 10,871.60, 16,308.68 and 3,850.14

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Solution

The fourth proportional to 10,871.60, 16,308.68 and 3,850.14 is: 5,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.60 : 16,308.68 = 3,850.14 : x
  2. Step 2: Convert to fraction form
    10,871.60/16,308.68 = 3,850.14/x
  3. Step 3: Cross multiply
    10,871.60x = 16,308.68 × 3,850.14
  4. Step 4: Simplify right side
    10,871.60x = 62,790,743.12
  5. Step 5: Solve for x
    x = 62,790,743.12/10,871.60
  6. Step 6: Final answer
    x = 5,775.67

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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.