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Finding the Fourth Proportional to 10,434.35, 15,649.90 and 3,414.31

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Solution

The fourth proportional to 10,434.35, 15,649.90 and 3,414.31 is: 5,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.35 : 15,649.90 = 3,414.31 : x
  2. Step 2: Convert to fraction form
    10,434.35/15,649.90 = 3,414.31/x
  3. Step 3: Cross multiply
    10,434.35x = 15,649.90 × 3,414.31
  4. Step 4: Simplify right side
    10,434.35x = 53,433,610.07
  5. Step 5: Solve for x
    x = 53,433,610.07/10,434.35
  6. Step 6: Final answer
    x = 5,120.93

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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.