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Finding the Fourth Proportional to 7,334.80, 10,995 and 3,437.20

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Solution

The fourth proportional to 7,334.80, 10,995 and 3,437.20 is: 5,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.80 : 10,995 = 3,437.20 : x
  2. Step 2: Convert to fraction form
    7,334.80/10,995 = 3,437.20/x
  3. Step 3: Cross multiply
    7,334.80x = 10,995 × 3,437.20
  4. Step 4: Simplify right side
    7,334.80x = 37,792,014
  5. Step 5: Solve for x
    x = 37,792,014/7,334.80
  6. Step 6: Final answer
    x = 5,152.43

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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.