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Finding the Fourth Proportional to 7,382.50, 11,075.91 and 2,188.52

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Solution

The fourth proportional to 7,382.50, 11,075.91 and 2,188.52 is: 3,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.50 : 11,075.91 = 2,188.52 : x
  2. Step 2: Convert to fraction form
    7,382.50/11,075.91 = 2,188.52/x
  3. Step 3: Cross multiply
    7,382.50x = 11,075.91 × 2,188.52
  4. Step 4: Simplify right side
    7,382.50x = 24,239,850.55
  5. Step 5: Solve for x
    x = 24,239,850.55/7,382.50
  6. Step 6: Final answer
    x = 3,283.42

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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.