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Finding the Fourth Proportional to 10,105.71, 15,160.99 and 3,180.21

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Solution

The fourth proportional to 10,105.71, 15,160.99 and 3,180.21 is: 4,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.71 : 15,160.99 = 3,180.21 : x
  2. Step 2: Convert to fraction form
    10,105.71/15,160.99 = 3,180.21/x
  3. Step 3: Cross multiply
    10,105.71x = 15,160.99 × 3,180.21
  4. Step 4: Simplify right side
    10,105.71x = 48,215,132.01
  5. Step 5: Solve for x
    x = 48,215,132.01/10,105.71
  6. Step 6: Final answer
    x = 4,771.08

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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.