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Finding the Fourth Proportional to 10,414.74, 14,372.29 and 5,634.68

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Solution

The fourth proportional to 10,414.74, 14,372.29 and 5,634.68 is: 7,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.74 : 14,372.29 = 5,634.68 : x
  2. Step 2: Convert to fraction form
    10,414.74/14,372.29 = 5,634.68/x
  3. Step 3: Cross multiply
    10,414.74x = 14,372.29 × 5,634.68
  4. Step 4: Simplify right side
    10,414.74x = 80,983,305.03
  5. Step 5: Solve for x
    x = 80,983,305.03/10,414.74
  6. Step 6: Final answer
    x = 7,775.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.