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Finding the Fourth Proportional to 7,276.87, 10,042 and 4,133.13

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Solution

The fourth proportional to 7,276.87, 10,042 and 4,133.13 is: 5,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.87 : 10,042 = 4,133.13 : x
  2. Step 2: Convert to fraction form
    7,276.87/10,042 = 4,133.13/x
  3. Step 3: Cross multiply
    7,276.87x = 10,042 × 4,133.13
  4. Step 4: Simplify right side
    7,276.87x = 41,504,891.46
  5. Step 5: Solve for x
    x = 41,504,891.46/7,276.87
  6. Step 6: Final answer
    x = 5,703.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.