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Finding the Fourth Proportional to 10,433.56, 15,649.84 and 3,037.84

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Solution

The fourth proportional to 10,433.56, 15,649.84 and 3,037.84 is: 4,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.56 : 15,649.84 = 3,037.84 : x
  2. Step 2: Convert to fraction form
    10,433.56/15,649.84 = 3,037.84/x
  3. Step 3: Cross multiply
    10,433.56x = 15,649.84 × 3,037.84
  4. Step 4: Simplify right side
    10,433.56x = 47,541,709.95
  5. Step 5: Solve for x
    x = 47,541,709.95/10,433.56
  6. Step 6: Final answer
    x = 4,556.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.