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Finding the Fourth Proportional to 10,759.58, 16,139.76 and 2,969

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Solution

The fourth proportional to 10,759.58, 16,139.76 and 2,969 is: 4,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.58 : 16,139.76 = 2,969 : x
  2. Step 2: Convert to fraction form
    10,759.58/16,139.76 = 2,969/x
  3. Step 3: Cross multiply
    10,759.58x = 16,139.76 × 2,969
  4. Step 4: Simplify right side
    10,759.58x = 47,918,947.44
  5. Step 5: Solve for x
    x = 47,918,947.44/10,759.58
  6. Step 6: Final answer
    x = 4,453.61

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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.