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Finding the Fourth Proportional to 7,450.74, 10,282.14 and 4,093.86

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Solution

The fourth proportional to 7,450.74, 10,282.14 and 4,093.86 is: 5,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.74 : 10,282.14 = 4,093.86 : x
  2. Step 2: Convert to fraction form
    7,450.74/10,282.14 = 4,093.86/x
  3. Step 3: Cross multiply
    7,450.74x = 10,282.14 × 4,093.86
  4. Step 4: Simplify right side
    7,450.74x = 42,093,641.66
  5. Step 5: Solve for x
    x = 42,093,641.66/7,450.74
  6. Step 6: Final answer
    x = 5,649.59

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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.