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Finding the Fourth Proportional to 7,451.34, 10,282.80 and 4,094.19

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Solution

The fourth proportional to 7,451.34, 10,282.80 and 4,094.19 is: 5,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.34 : 10,282.80 = 4,094.19 : x
  2. Step 2: Convert to fraction form
    7,451.34/10,282.80 = 4,094.19/x
  3. Step 3: Cross multiply
    7,451.34x = 10,282.80 × 4,094.19
  4. Step 4: Simplify right side
    7,451.34x = 42,099,736.93
  5. Step 5: Solve for x
    x = 42,099,736.93/7,451.34
  6. Step 6: Final answer
    x = 5,649.96

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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.