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Finding the Fourth Proportional to 10,141.94, 15,213.87 and 3,984.50

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Solution

The fourth proportional to 10,141.94, 15,213.87 and 3,984.50 is: 5,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.94 : 15,213.87 = 3,984.50 : x
  2. Step 2: Convert to fraction form
    10,141.94/15,213.87 = 3,984.50/x
  3. Step 3: Cross multiply
    10,141.94x = 15,213.87 × 3,984.50
  4. Step 4: Simplify right side
    10,141.94x = 60,619,665.02
  5. Step 5: Solve for x
    x = 60,619,665.02/10,141.94
  6. Step 6: Final answer
    x = 5,977.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.