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Finding the Fourth Proportional to 7,462.12, 11,184 and 3,297.64

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Solution

The fourth proportional to 7,462.12, 11,184 and 3,297.64 is: 4,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.12 : 11,184 = 3,297.64 : x
  2. Step 2: Convert to fraction form
    7,462.12/11,184 = 3,297.64/x
  3. Step 3: Cross multiply
    7,462.12x = 11,184 × 3,297.64
  4. Step 4: Simplify right side
    7,462.12x = 36,880,805.76
  5. Step 5: Solve for x
    x = 36,880,805.76/7,462.12
  6. Step 6: Final answer
    x = 4,942.40

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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.