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Finding the Fourth Proportional to 7,423.28, 10,244 and 4,066

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Solution

The fourth proportional to 7,423.28, 10,244 and 4,066 is: 5,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.28 : 10,244 = 4,066 : x
  2. Step 2: Convert to fraction form
    7,423.28/10,244 = 4,066/x
  3. Step 3: Cross multiply
    7,423.28x = 10,244 × 4,066
  4. Step 4: Simplify right side
    7,423.28x = 41,652,104
  5. Step 5: Solve for x
    x = 41,652,104/7,423.28
  6. Step 6: Final answer
    x = 5,611.01

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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.