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Finding the Fourth Proportional to 7,189.76, 10,770.82 and 4,408.32

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Solution

The fourth proportional to 7,189.76, 10,770.82 and 4,408.32 is: 6,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.76 : 10,770.82 = 4,408.32 : x
  2. Step 2: Convert to fraction form
    7,189.76/10,770.82 = 4,408.32/x
  3. Step 3: Cross multiply
    7,189.76x = 10,770.82 × 4,408.32
  4. Step 4: Simplify right side
    7,189.76x = 47,481,199.18
  5. Step 5: Solve for x
    x = 47,481,199.18/7,189.76
  6. Step 6: Final answer
    x = 6,604.01

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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.