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Finding the Fourth Proportional to 10,206.44, 15,298.74 and 5,274.76

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Solution

The fourth proportional to 10,206.44, 15,298.74 and 5,274.76 is: 7,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.44 : 15,298.74 = 5,274.76 : x
  2. Step 2: Convert to fraction form
    10,206.44/15,298.74 = 5,274.76/x
  3. Step 3: Cross multiply
    10,206.44x = 15,298.74 × 5,274.76
  4. Step 4: Simplify right side
    10,206.44x = 80,697,181.80
  5. Step 5: Solve for x
    x = 80,697,181.80/10,206.44
  6. Step 6: Final answer
    x = 7,906.50

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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.