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Finding the Fourth Proportional to 7,403.64, 11,103.82 and 2,137.50

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Solution

The fourth proportional to 7,403.64, 11,103.82 and 2,137.50 is: 3,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.64 : 11,103.82 = 2,137.50 : x
  2. Step 2: Convert to fraction form
    7,403.64/11,103.82 = 2,137.50/x
  3. Step 3: Cross multiply
    7,403.64x = 11,103.82 × 2,137.50
  4. Step 4: Simplify right side
    7,403.64x = 23,734,409.91
  5. Step 5: Solve for x
    x = 23,734,409.91/7,403.64
  6. Step 6: Final answer
    x = 3,205.78

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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.