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Finding the Fourth Proportional to 7,114.14, 10,662.03 and 3,408.66

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Solution

The fourth proportional to 7,114.14, 10,662.03 and 3,408.66 is: 5,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.14 : 10,662.03 = 3,408.66 : x
  2. Step 2: Convert to fraction form
    7,114.14/10,662.03 = 3,408.66/x
  3. Step 3: Cross multiply
    7,114.14x = 10,662.03 × 3,408.66
  4. Step 4: Simplify right side
    7,114.14x = 36,343,235.18
  5. Step 5: Solve for x
    x = 36,343,235.18/7,114.14
  6. Step 6: Final answer
    x = 5,108.59

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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.