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Finding the Fourth Proportional to 10,194.56, 15,290.20 and 2,797.30

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Solution

The fourth proportional to 10,194.56, 15,290.20 and 2,797.30 is: 4,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.56 : 15,290.20 = 2,797.30 : x
  2. Step 2: Convert to fraction form
    10,194.56/15,290.20 = 2,797.30/x
  3. Step 3: Cross multiply
    10,194.56x = 15,290.20 × 2,797.30
  4. Step 4: Simplify right side
    10,194.56x = 42,771,276.46
  5. Step 5: Solve for x
    x = 42,771,276.46/10,194.56
  6. Step 6: Final answer
    x = 4,195.50

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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.