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Finding the Fourth Proportional to 7,338, 11,008.80 and 2,143.92

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Solution

The fourth proportional to 7,338, 11,008.80 and 2,143.92 is: 3,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338 : 11,008.80 = 2,143.92 : x
  2. Step 2: Convert to fraction form
    7,338/11,008.80 = 2,143.92/x
  3. Step 3: Cross multiply
    7,338x = 11,008.80 × 2,143.92
  4. Step 4: Simplify right side
    7,338x = 23,601,986.50
  5. Step 5: Solve for x
    x = 23,601,986.50/7,338
  6. Step 6: Final answer
    x = 3,216.41

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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.