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Finding the Fourth Proportional to 7,969.75, 11,942.13 and 5,041.87

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Solution

The fourth proportional to 7,969.75, 11,942.13 and 5,041.87 is: 7,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.75 : 11,942.13 = 5,041.87 : x
  2. Step 2: Convert to fraction form
    7,969.75/11,942.13 = 5,041.87/x
  3. Step 3: Cross multiply
    7,969.75x = 11,942.13 × 5,041.87
  4. Step 4: Simplify right side
    7,969.75x = 60,210,637.13
  5. Step 5: Solve for x
    x = 60,210,637.13/7,969.75
  6. Step 6: Final answer
    x = 7,554.90

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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.