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Finding the Fourth Proportional to 7,299.80, 10,947.90 and 2,104.52

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Solution

The fourth proportional to 7,299.80, 10,947.90 and 2,104.52 is: 3,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.80 : 10,947.90 = 2,104.52 : x
  2. Step 2: Convert to fraction form
    7,299.80/10,947.90 = 2,104.52/x
  3. Step 3: Cross multiply
    7,299.80x = 10,947.90 × 2,104.52
  4. Step 4: Simplify right side
    7,299.80x = 23,040,074.51
  5. Step 5: Solve for x
    x = 23,040,074.51/7,299.80
  6. Step 6: Final answer
    x = 3,156.26

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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.