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Finding the Fourth Proportional to 7,401.89, 10,209.84 and 4,415.42

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Solution

The fourth proportional to 7,401.89, 10,209.84 and 4,415.42 is: 6,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.89 : 10,209.84 = 4,415.42 : x
  2. Step 2: Convert to fraction form
    7,401.89/10,209.84 = 4,415.42/x
  3. Step 3: Cross multiply
    7,401.89x = 10,209.84 × 4,415.42
  4. Step 4: Simplify right side
    7,401.89x = 45,080,709.66
  5. Step 5: Solve for x
    x = 45,080,709.66/7,401.89
  6. Step 6: Final answer
    x = 6,090.43

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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.