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Finding the Fourth Proportional to 7,420, 10,239.92 and 4,108

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Solution

The fourth proportional to 7,420, 10,239.92 and 4,108 is: 5,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420 : 10,239.92 = 4,108 : x
  2. Step 2: Convert to fraction form
    7,420/10,239.92 = 4,108/x
  3. Step 3: Cross multiply
    7,420x = 10,239.92 × 4,108
  4. Step 4: Simplify right side
    7,420x = 42,065,591.36
  5. Step 5: Solve for x
    x = 42,065,591.36/7,420
  6. Step 6: Final answer
    x = 5,669.22

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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.