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Finding the Fourth Proportional to 10,142.40, 15,213.42 and 5,209.14

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Solution

The fourth proportional to 10,142.40, 15,213.42 and 5,209.14 is: 7,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.40 : 15,213.42 = 5,209.14 : x
  2. Step 2: Convert to fraction form
    10,142.40/15,213.42 = 5,209.14/x
  3. Step 3: Cross multiply
    10,142.40x = 15,213.42 × 5,209.14
  4. Step 4: Simplify right side
    10,142.40x = 79,248,834.66
  5. Step 5: Solve for x
    x = 79,248,834.66/10,142.40
  6. Step 6: Final answer
    x = 7,813.62

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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.