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Finding the Fourth Proportional to 7,662.27, 11,486.10 and 2,464.50

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Solution

The fourth proportional to 7,662.27, 11,486.10 and 2,464.50 is: 3,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.27 : 11,486.10 = 2,464.50 : x
  2. Step 2: Convert to fraction form
    7,662.27/11,486.10 = 2,464.50/x
  3. Step 3: Cross multiply
    7,662.27x = 11,486.10 × 2,464.50
  4. Step 4: Simplify right side
    7,662.27x = 28,307,493.45
  5. Step 5: Solve for x
    x = 28,307,493.45/7,662.27
  6. Step 6: Final answer
    x = 3,694.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.