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Finding the Fourth Proportional to 7,443.80, 11,158.50 and 2,762.48

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Solution

The fourth proportional to 7,443.80, 11,158.50 and 2,762.48 is: 4,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.80 : 11,158.50 = 2,762.48 : x
  2. Step 2: Convert to fraction form
    7,443.80/11,158.50 = 2,762.48/x
  3. Step 3: Cross multiply
    7,443.80x = 11,158.50 × 2,762.48
  4. Step 4: Simplify right side
    7,443.80x = 30,825,133.08
  5. Step 5: Solve for x
    x = 30,825,133.08/7,443.80
  6. Step 6: Final answer
    x = 4,141.05

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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.